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

The solution to expand (2x^2+x+4)(x^2+4x-4) is 2x^4+9x^3+12x-16

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

expand

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

2 x^{4} + 9 x^{3} + 12 x - 16

Solution steps

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

Distribute parentheses

= 2 x^{2} x^{2} + 2 x^{2} \cdot 4 x + 2 x^{2} (- 4) + x x^{2} + x \cdot 4 x + x (- 4) + 4 x^{2} + 4 \cdot 4 x + 4 (- 4)

Simplify

2 x^{2} x^{2} + 2 x^{2} \cdot 4 x + 2 x^{2} (- 4) + x x^{2} + x \cdot 4 x + x (- 4) + 4 x^{2} + 4 \cdot 4 x + 4 (- 4) : 2 x^{4} + 9 x^{3} + 12 x - 16

= 2 x^{4} + 9 x^{3} + 12 x - 16

125 x^{11} - 20 x

- 3 \frac{1}{3}

- 144 - - 4 - 16 - - 100

\frac{1}{3} \cdot 18

\frac{12 x ^{5} y ^{3}}{4 x ^{2} y ^{2}}

What is expand (2x^2+x+4)(x^2+4x-4) ?
The solution to expand (2x^2+x+4)(x^2+4x-4) is 2x^4+9x^3+12x-16