What is expand (x^2+4x+2)(2x^2+3x-4) ?

The solution to expand (x^2+4x+2)(2x^2+3x-4) is 2x^4+11x^3+12x^2-10x-8

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expand (x^2+4x+2)(2x^2+3x-4)

expand

(x^{2} + 4 x + 2) (2 x^{2} + 3 x - 4)

2 x^{4} + 11 x^{3} + 12 x^{2} - 10 x - 8

Solution steps

(x^{2} + 4 x + 2) (2 x^{2} + 3 x - 4)

Distribute parentheses

= x^{2} \cdot 2 x^{2} + x^{2} \cdot 3 x + x^{2} (- 4) + 4 x \cdot 2 x^{2} + 4 x \cdot 3 x + 4 x (- 4) + 2 \cdot 2 x^{2} + 2 \cdot 3 x + 2 (- 4)

Simplify

x^{2} \cdot 2 x^{2} + x^{2} \cdot 3 x + x^{2} (- 4) + 4 x \cdot 2 x^{2} + 4 x \cdot 3 x + 4 x (- 4) + 2 \cdot 2 x^{2} + 2 \cdot 3 x + 2 (- 4) : 2 x^{4} + 11 x^{3} + 12 x^{2} - 10 x - 8

= 2 x^{4} + 11 x^{3} + 12 x^{2} - 10 x - 8

e^{\frac{π}{3} i}

(s + 1) (2 s + 1)

\frac{2}{5} x^{\frac{5}{2}}

3 \frac{3}{4} + 5 \frac{5}{9} + 7 \frac{1}{12}

(- e^{x})^{2}

What is expand (x^2+4x+2)(2x^2+3x-4) ?
The solution to expand (x^2+4x+2)(2x^2+3x-4) is 2x^4+11x^3+12x^2-10x-8