What is expand (t-p)^2cos^2(p)dp ?

The solution to expand (t-p)^2cos^2(p)dp is t^2cos^2(p)dp-2tpcos^2(p)dp+p^2cos^2(p)dp

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expand (t-p)^2cos^2(p)dp

expand

(t - p)^{2} cos^{2} (p) d p

t^{2} cos^{2} (p) d p - 2 tp cos^{2} (p) d p + p^{2} cos^{2} (p) d p

Solution steps

(t - p)^{2} cos^{2} (p) d p

(t - p)^{2} = t^{2} - 2 tp + p^{2}

= cos^{2} (p) (t^{2} - 2 tp + p^{2}) d p

= cos^{2} (p) (t^{2} - 2 tp + p^{2}) d p

Distribute parentheses

= cos^{2} (p) d p t^{2} + cos^{2} (p) d p (- 2 tp) + cos^{2} (p) d p p^{2}

Apply minus-plus rules

+ (- a) = - a

= t^{2} cos^{2} (p) d p - 2 tp cos^{2} (p) d p + p^{2} cos^{2} (p) d p

\frac{2 ( x + 5 ) ( - x ^{2} - 10 x + 2 )}{( x ^{2} + 2 ) ^{3}}

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

(4 x + 4)^{2}

(- cot (x) csc (x)) (2 csc (x) - 1)

(y + Δ)^{3}

What is expand (t-p)^2cos^2(p)dp ?
The solution to expand (t-p)^2cos^2(p)dp is t^2cos^2(p)dp-2tpcos^2(p)dp+p^2cos^2(p)dp