What is expand (cos(t)-4sin(t))^2 ?

The solution to expand (cos(t)-4sin(t))^2 is cos^2(t)-8cos(t)sin(t)+16sin^2(t)

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expand (cos(t)-4sin(t))^2

expand

(cos (t) - 4 sin (t))^{2}

cos^{2} (t) - 8 cos (t) sin (t) + 16 sin^{2} (t)

Solution steps

(cos (t) - 4 sin (t))^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(cos (t) - 4 sin (t))^{2} = cos^{2} (t) - 2 cos (t) \cdot 4 sin (t) + (4 sin (t))^{2}

= cos^{2} (t) - 2 cos (t) \cdot 4 sin (t) + (4 sin (t))^{2}

Simplify

cos^{2} (t) - 2 cos (t) \cdot 4 sin (t) + (4 sin (t))^{2} : cos^{2} (t) - 8 cos (t) sin (t) + 16 sin^{2} (t)

= cos^{2} (t) - 8 cos (t) sin (t) + 16 sin^{2} (t)

\frac{36 x}{( 9 - x ^{2} ) ^{2}}

(- b + b^{2} + 4 a c)^{2}

\frac{1}{( 2 x )} 5

\frac{1}{( x - a ) ^{2}}

\frac{( 2 x + 3 ) ( x - 4 )}{8}

What is expand (cos(t)-4sin(t))^2 ?
The solution to expand (cos(t)-4sin(t))^2 is cos^2(t)-8cos(t)sin(t)+16sin^2(t)