What is expand 2(x^2+4x+8)^2 ?

The solution to expand 2(x^2+4x+8)^2 is 2x^4+16x^3+64x^2+128x+128

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expand 2(x^2+4x+8)^2

expand

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

2 x^{4} + 16 x^{3} + 64 x^{2} + 128 x + 128

Solution steps

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

(x^{2} + 4 x + 8)^{2} = x^{4} + 8 x^{3} + 32 x^{2} + 64 x + 64

= 2 (x^{4} + 8 x^{3} + 32 x^{2} + 64 x + 64)

Distribute parentheses

= 2 x^{4} + 2 \cdot 8 x^{3} + 2 \cdot 32 x^{2} + 2 \cdot 64 x + 2 \cdot 64

Simplify

2 x^{4} + 2 \cdot 8 x^{3} + 2 \cdot 32 x^{2} + 2 \cdot 64 x + 2 \cdot 64 : 2 x^{4} + 16 x^{3} + 64 x^{2} + 128 x + 128

= 2 x^{4} + 16 x^{3} + 64 x^{2} + 128 x + 128

(2 x^{2} + 3 x) e^{x}

\frac{d}{d t} ((x) (4 (x^{2} + 1)))

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

x^{2} + 1^{2}

- 2 - 7 k (k = - 1)

What is expand 2(x^2+4x+8)^2 ?
The solution to expand 2(x^2+4x+8)^2 is 2x^4+16x^3+64x^2+128x+128