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Popular Algebra Problems

simplify (sqrt(3)x-2)^2	simplify\:(\sqrt{3}x-2)^{2}
expand (1+tan(x))(sec(x)tan(x))	expand\:(1+\tan(x))(\sec(x)\tan(x))
expand ((k^2+k)/2)^2	expand\:(\frac{k^{2}+k}{2})^{2}
expand (pi+i)^2	expand\:(π+i)^{2}
expand z/((z-1)^2)	expand\:\frac{z}{(z-1)^{2}}
expand (x^2-y)y''(x)	expand\:(x^{2}-y)y\prime\:\prime\:(x)
expand+y(1-x^2)dy	expand\:+y(1-x^{2})dy
expand ((z+J^2)(z-14)5)/(z-14+J^2)	expand\:\frac{(z+J^{2})(z-14)5}{z-14+J^{2}}
expand (x-cos((2pi)/7))(x-cos((4pi)/7))(x-cos((6pi)/7))	expand\:(x-\cos(\frac{2π}{7}))(x-\cos(\frac{4π}{7}))(x-\cos(\frac{6π}{7}))
expand sqrt((-e^tsin(t)+e^tcos(t))^2+cos^2(t))	expand\:\sqrt{(-e^{t}\sin(t)+e^{t}\cos(t))^{2}+\cos^{2}(t)}
expand (cos^2(x)-3)/(2x(cos(x)+1))	expand\:\frac{\cos^{2}(x)-3}{2x(\cos(x)+1)}
((as+1))/(s^2(bs+1))	\frac{(as+1)}{s^{2}(bs+1)}
expand 1/4 (5-2x)(3+2x)	expand\:\frac{1}{4}(5-2x)(3+2x)
expand-(6(3x^2-1))/((x^2+1)^3)	expand\:-\frac{6(3x^{2}-1)}{(x^{2}+1)^{3}}
d/(dy)((x)((x^2-1)^4))	\frac{d}{dy}((x)((x^{2}-1)^{4}))
expand ((2x^4)/y-(y^2)/x)^{10}	expand\:(\frac{2x^{4}}{y}-\frac{y^{2}}{x})^{10}
expand (r-rcos(θ))^2	expand\:(r-r\cos(θ))^{2}
simplify 2(3sqrt(2)+2)	simplify\:2(3\sqrt{2}+2)
expand 7(1+6sin(θ))^2	expand\:7(1+6\sin(θ))^{2}
expand ((10-3x)(x+1))/5	expand\:\frac{(10-3x)(x+1)}{5}
simplify 10(Acos(5x)-Asin(5x))	simplify\:10(A\cdot\:\cos(5x)-A\cdot\:\sin(5x))
simplify e^{(-2+i25)*0.01}	simplify\:e^{(-2+i25)\cdot\:0.01}
expand (dy^3)/(d^3x)(y=cos(x)-ln(2x))	expand\:\frac{dy^{3}}{d^{3}x}(y=\cos(x)-\ln(2x))
expand log_{9}(x+3)(x-5)	expand\:\log_{9}(x+3)(x-5)
expand (3X+2Y-16=0,)(5X+2Y-(-18)=0)	expand\:(3X+2Y-16=0,)(5X+2Y-(-18)=0)
expand (ln(t))^2	expand\:(\ln(t))^{2}
expand (2x+2yy'(x)=0) 1/2	expand\:(2x+2yy\prime\:(x)=0)\frac{1}{2}
simplify (1+sqrt(t))^2(1-sqrt(t))^3	simplify\:(1+\sqrt{t})^{2}(1-\sqrt{t})^{3}
expand 37-2(pix+pi)^3	expand\:37-2(πx+π)^{3}
expand (37)/((s^2+1)(s+6))	expand\:\frac{37}{(s^{2}+1)(s+6)}
expand (x^2-xy)(sqrt(x)+sqrt(y))	expand\:(x^{2}-xy)(\sqrt{x}+\sqrt{y})
expand (sqrt(x)+2)(x^2-3x)	expand\:(\sqrt{x}+2)(x^{2}-3x)
simplify x(x+(16000)/(x^2))	simplify\:x(x+\frac{16000}{x^{2}})
expand (sqrt(5)+2)(sqrt(3)+sqrt(7))	expand\:(\sqrt{5}+2)(\sqrt{3}+\sqrt{7})
expand (2(x^2-2)^{16})/(15)	expand\:\frac{2(x^{2}-2)^{16}}{15}
simplify (sin^2(X)(cot(X)-csc(X)))/(cot(X)+csc(X))+1	simplify\:\frac{\sin^{2}(X)(\cot(X)-\csc(X))}{\cot(X)+\csc(X)}+1
simplify (1+isqrt(3))^7	simplify\:(1+i\sqrt{3})^{7}
simplify x(1/(n^2)+x^2)	simplify\:x(\frac{1}{n^{2}}+x^{2})
expand 1/((s+1)(s+10))	expand\:\frac{1}{(s+1)(s+10)}
simplify ((wL)/2-wa)a	simplify\:(\frac{wL}{2}-wa)a
expand (p-200)/3	expand\:\frac{p-200}{3}
expand cos(((2n-1)pix)/2)	expand\:\cos(\frac{(2n-1)πx}{2})
expand (3+5cos(x))^2	expand\:(3+5\cos(x))^{2}
simplify (4+sqrt(y))^2	simplify\:(4+\sqrt{y})^{2}
expand (360)/((s^2+4)^6)	expand\:\frac{360}{(s^{2}+4)^{6}}
expand 3520/2	expand\:\frac{3520}{2}
simplify (4/9-1/x)\times (2/x+1/3)	simplify\:(\frac{4}{9}-\frac{1}{x})\times\:(\frac{2}{x}+\frac{1}{3})
simplify ((mn)/5-1)(m^2n^2+4mn)	simplify\:(\frac{mn}{5}-1)(m^{2}n^{2}+4mn)
simplify 3(8-(c^2)/2)	simplify\:3(8-\frac{c^{2}}{2})
expand (1+1/n i)^2	expand\:(1+\frac{1}{n}i)^{2}
expand (x^3y+x^3y^2)dx+x^2ydy	expand\:(x^{3}y+x^{3}y^{2})dx+x^{2}ydy
expand (-36sin^3(r)cos(t)+6cos^2(t))dt	expand\:(-36\sin^{3}(r)\cos(t)+6\cos^{2}(t))dt
expand s/((s-10)(s^2+5))	expand\:\frac{s}{(s-10)(s^{2}+5)}
expand (x-1)(ln(x-1))	expand\:(x-1)(\ln(x-1))
expand (4x-8+8x)(h(x)=2x-1)	expand\:(4x-8+8x)(h(x)=2x-1)
simplify (a/(x+3)+b/(x-2))(x+3)(x-3)	simplify\:(\frac{a}{x+3}+\frac{b}{x-2})(x+3)(x-3)
expand (1.02)^8	expand\:(1.02)^{8}
expand ((2x+5)^2)/x	expand\:\frac{(2x+5)^{2}}{x}
expand (3+cos(x))^3	expand\:(3+\cos(x))^{3}
simplify (z-2i)(z+2i)^2	simplify\:(z-2i)(z+2i)^{2}
expand 1/(s(s^2+5s+4))	expand\:\frac{1}{s(s^{2}+5s+4)}
expand (u^2+2e^{wuv}+e^{2w}v^2)(uv^2+w^4)	expand\:(u^{2}+2e^{wuv}+e^{2w}v^{2})(uv^{2}+w^{4})
d/(d{x)}(({z}(x))({x}{y}+{y}ln({x}{y})))	\frac{d}{d{x}}(({z}(x))({x}{y}+{y}\ln({x}{y})))
simplify 3(2+sqrt(2))	simplify\:3(2+\sqrt{2})
expand (-2*x^2+1)/((x^2+1)^{5/2)}	expand\:\frac{-2\cdot\:x^{2}+1}{(x^{2}+1)^{\frac{5}{2}}}
expand (10x-3y=3,6)-(2x+5y=-4)	expand\:(10x-3y=3,6)-(2x+5y=-4)
simplify y+((127.5)/((4y+1.5y^2)^2))-3.196	simplify\:y+(\frac{127.5}{(4y+1.5y^{2})^{2}})-3.196
expand (6e^{-5pis}s+1-e^{-14s}+48s)/(s(s^2+64))	expand\:\frac{6e^{-5πs}s+1-e^{-14s}+48s}{s(s^{2}+64)}
expand ((x-2)^2)/(16)	expand\:\frac{(x-2)^{2}}{16}
expand sqrt(5)(sqrt(3)+9)	expand\:\sqrt{5}(\sqrt{3}+9)
expand (2xy-3x^2)dx+(x^3-2y)dy	expand\:(2xy-3x^{2})dx+(x^{3}-2y)dy
expand (2(5s+11))/((s+7-j24)(s+7+j24))	expand\:\frac{2(5s+11)}{(s+7-j\cdot\:24)(s+7+j\cdot\:24)}
expand 1/(2(x-5)^2)	expand\:\frac{1}{2(x-5)^{2}}
expand (e^{-3s})/(s(s^2+1))	expand\:\frac{e^{-3s}}{s(s^{2}+1)}
expand ((x-i)^2)/((x^2+1)^2)	expand\:\frac{(x-i)^{2}}{(x^{2}+1)^{2}}
expand (ax+bx^{1/2}+c)^2	expand\:(a\cdot\:x+b\cdot\:x^{\frac{1}{2}}+c)^{2}
expand (sin(x)+1)(sin(x)-1)(4sin(x)+1)	expand\:(\sin(x)+1)(\sin(x)-1)(4\sin(x)+1)
expand-6(e^x-e^{2x})	expand\:-6(e^{x}-e^{2x})
expand x^{4/5}\times (x-4)^2	expand\:x^{\frac{4}{5}}\times\:(x-4)^{2}
expand (e^{-t}t^2(14+2t))/9+15-10t	expand\:\frac{e^{-t}t^{2}(14+2t)}{9}+15-10t
simplify ((3x^3)/2+9y^2)((3x^3)/2-9y^2)	simplify\:(\frac{3x^{3}}{2}+9y^{2})(\frac{3x^{3}}{2}-9y^{2})
expand (x+1)(x-4)(x-sqrt(2))	expand\:(x+1)(x-4)(x-\sqrt{2})
simplify (A/6+4Z)(A-5Z)	simplify\:(\frac{A}{6}+4Z)(A-5Z)
simplify (-x^2+8\circ 4x+8)(-4)	simplify\:(-x^{2}+8\circ\:4x+8)(-4)
expand z(-x_{1}+x_{2}-4)^2	expand\:z(-x_{1}+x_{2}-4)^{2}
simplify s(s+1)(s/2+1)	simplify\:s(s+1)(\frac{s}{2}+1)
expand (-15w-20)+!!(3-4w)	expand\:(-15w-20)+!!(3-4w)
expand (sec(x)-1)(1+cos(x))cos(x)	expand\:(\sec(x)-1)(1+\cos(x))\cos(x)
expand ((1+3n)n)/2	expand\:\frac{(1+3n)n}{2}
simplify 3(sqrt(-49x^2+9)+3)sqrt(-49x^2+9)	simplify\:3(\sqrt{-49x^{2}+9}+3)\sqrt{-49x^{2}+9}
expand sqrt(5)(8+sqrt(7))	expand\:\sqrt{5}(8+\sqrt{7})
expand (12x^4+21x^3+6x-12)/(3x+6)	expand\:\frac{12x^{4}+21x^{3}+6x-12}{3x+6}
expand (k(s+10))/(s+1)	expand\:\frac{k(s+10)}{s+1}
simplify (sqrt(x)-4)(sqrt(x)-7)	simplify\:(\sqrt{x}-4)(\sqrt{x}-7)
expand f(x,y= 3/2)(x^2+y^2)	expand\:f(x,y=\frac{3}{2})(x^{2}+y^{2})
expand (x^2(3-x))/4	expand\:\frac{x^{2}(3-x)}{4}
expand 4left(a+5)(a-8)	expand\:4left(a+5)(a-8)
expand ((x+4)(x-8))/3	expand\:\frac{(x+4)(x-8)}{3}
expand (\|7x-4\|-\|2y+13\|)dx+\|2x+6y\|dy	expand\:(\left\|7x-4\right\|-\left\|2y+13\right\|)dx+\left\|2x+6y\right\|dy
expand (a(a+12))/4	expand\:\frac{a(a+12)}{4}

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