What is expand (1+x)^2cos(x) ?

The solution to expand (1+x)^2cos(x) is cos(x)+2xcos(x)+x^2cos(x)

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expand (1+x)^2cos(x)

expand

(1 + x)^{2} cos (x)

cos (x) + 2 x cos (x) + x^{2} cos (x)

Solution steps

(1 + x)^{2} cos (x)

= cos (x) (1 + x)^{2}

Expand

(1 + x)^{2} : 1 + 2 x + x^{2}

= cos (x) (1 + 2 x + x^{2})

Apply the distributive law:

m (a + b + c) = ma + mb + m c

cos (x) (1 + 2 x + x^{2}) = cos (x) \cdot 1 + cos (x) \cdot 2 x + cos (x) x^{2}

= cos (x) \cdot 1 + cos (x) \cdot 2 x + cos (x) x^{2}

Simplify

cos (x) \cdot 1 + cos (x) \cdot 2 x + cos (x) x^{2} : cos (x) + 2 x cos (x) + x^{2} cos (x)

= cos (x) + 2 x cos (x) + x^{2} cos (x)

(i^{b + 6} - u p) (i^{b + 6} + u p)

(cos (θ) + sin (θ))^{5}

(cos (θ) + sin (θ))^{3}

\frac{d ^{3}}{d x ^{3}} ((y) (5 x^{3} + 3 x^{2} - 2 x + 9))

\frac{x - 1}{x ( x + 1 )}

What is expand (1+x)^2cos(x) ?
The solution to expand (1+x)^2cos(x) is cos(x)+2xcos(x)+x^2cos(x)