What is expand 2(x^2+9x+16)^2 ?

The solution to expand 2(x^2+9x+16)^2 is 2x^4+36x^3+226x^2+576x+512

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expand 2(x^2+9x+16)^2

expand

2 (x^{2} + 9 x + 16)^{2}

2 x^{4} + 36 x^{3} + 226 x^{2} + 576 x + 512

Solution steps

2 (x^{2} + 9 x + 16)^{2}

(x^{2} + 9 x + 16)^{2} = x^{4} + 18 x^{3} + 113 x^{2} + 288 x + 256

= 2 (x^{4} + 18 x^{3} + 113 x^{2} + 288 x + 256)

Distribute parentheses

= 2 x^{4} + 2 \cdot 18 x^{3} + 2 \cdot 113 x^{2} + 2 \cdot 288 x + 2 \cdot 256

Simplify

2 x^{4} + 2 \cdot 18 x^{3} + 2 \cdot 113 x^{2} + 2 \cdot 288 x + 2 \cdot 256 : 2 x^{4} + 36 x^{3} + 226 x^{2} + 576 x + 512

= 2 x^{4} + 36 x^{3} + 226 x^{2} + 576 x + 512

(i, - 3 j, + 3 k) \cdot (8 i, + 2 j, + 6 k)

y (e^{x} x + y e^{x})

- \frac{36 ( 7 x - y ) ( x + 7 y )}{25}

\frac{x ^{2} + a}{( x - 4 ) ( x + 5 )}

\frac{3 ( y + x ^{2} )}{x}

What is expand 2(x^2+9x+16)^2 ?
The solution to expand 2(x^2+9x+16)^2 is 2x^4+36x^3+226x^2+576x+512