What is expand (t^2+(t^2)^2,4t*t^2)*(1,2t) ?

The solution to expand (t^2+(t^2)^2,4t*t^2)*(1,2t) is t^2(1*2,t)+(t^2)^2(1*2,t),4t^2t

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expand (t^2+(t^2)^2,4tt^2)(1,2t)

expand

(t^{2} + (t^{2})^{2}, 4 t \cdot t^{2}) \cdot (1, 2 t)

t^{2} (1 \cdot 2, t) + (t^{2})^{2} (1 \cdot 2, t), 4 t^{2} t

Solution steps

(t^{2} + (t^{2})^{2}, 4 t t^{2}) (1, 2 t)

= (t^{2} + 4, t^{2} t (t^{2})^{2}) (1 \cdot 2, t)

Apply the distributive law:

a (b + c) = ab + a c

a = (1, 2 t), b = t^{2}, c = (t^{2})^{2}, 4 t t^{2}

= (1, 2 t) t^{2} + (1, 2 t) (t^{2})^{2}, 4 t t^{2}

= t^{2} (1 \cdot 2, t) + (t^{2})^{2} (1 \cdot 2, t), 4 t^{2} t

\frac{( x + 1 ) ^{2}}{x ^{2} + 2 x - 3}

- (1 + 2) x

(2 - \frac{1}{2 ^{n}}) (3 + \frac{1}{2 ^{n}})

\frac{8 x ^{3} + 29 x ^{2} + 28 x - 1}{( x + 1 ) ^{2} ( x ^{2} + 2 x - 1 )}

6 lo g_{x} (2) (3 lo g_{2} (x) + 100 lo g_{x} (2))

What is expand (t^2+(t^2)^2,4t*t^2)*(1,2t) ?
The solution to expand (t^2+(t^2)^2,4t*t^2)*(1,2t) is t^2(1*2,t)+(t^2)^2(1*2,t),4t^2t