What is expand a(x^2+2x+2)^2 ?

The solution to expand a(x^2+2x+2)^2 is ax^4+4ax^3+8ax^2+8ax+4a

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expand a(x^2+2x+2)^2

expand

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

a x^{4} + 4 a x^{3} + 8 a x^{2} + 8 a x + 4 a

Solution steps

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

(x^{2} + 2 x + 2)^{2} = x^{4} + 4 x^{3} + 8 x^{2} + 8 x + 4

= a (x^{4} + 4 x^{3} + 8 x^{2} + 8 x + 4)

Distribute parentheses

= a x^{4} + a \cdot 4 x^{3} + a \cdot 8 x^{2} + a \cdot 8 x + a \cdot 4

= a x^{4} + 4 a x^{3} + 8 a x^{2} + 8 a x + 4 a

10 (3 - 11)

40000 (- 0.1 e^{- 0.1 x - 1} x + 1.2 e^{- 0.1 x - 1})

(v^{2} y - 2 v y) d v + y d v + (2 v y + y) d y

f (x) 3 cos (π (x - 1)) + 1

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

What is expand a(x^2+2x+2)^2 ?
The solution to expand a(x^2+2x+2)^2 is ax^4+4ax^3+8ax^2+8ax+4a