What is expand (4x^2+3x+7)(-2x^2+x+2) ?

The solution to expand (4x^2+3x+7)(-2x^2+x+2) is -8x^4-2x^3-3x^2+13x+14

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expand (4x^2+3x+7)(-2x^2+x+2)

expand

(4 x^{2} + 3 x + 7) (- 2 x^{2} + x + 2)

- 8 x^{4} - 2 x^{3} - 3 x^{2} + 13 x + 14

Solution steps

(4 x^{2} + 3 x + 7) (- 2 x^{2} + x + 2)

Distribute parentheses

= 4 x^{2} (- 2 x^{2}) + 4 x^{2} x + 4 x^{2} \cdot 2 + 3 x (- 2 x^{2}) + 3 xx + 3 x \cdot 2 + 7 (- 2 x^{2}) + 7 x + 7 \cdot 2

Simplify

4 x^{2} (- 2 x^{2}) + 4 x^{2} x + 4 x^{2} \cdot 2 + 3 x (- 2 x^{2}) + 3 xx + 3 x \cdot 2 + 7 (- 2 x^{2}) + 7 x + 7 \cdot 2 : - 8 x^{4} - 2 x^{3} - 3 x^{2} + 13 x + 14

= - 8 x^{4} - 2 x^{3} - 3 x^{2} + 13 x + 14

(- \frac{8}{27})^{\frac{2}{3}}

28 a^{2} b^{2} - 7 ab

54 \cdot 9

\frac{1}{x} + \frac{1}{1 - x}

(2) - 3

What is expand (4x^2+3x+7)(-2x^2+x+2) ?
The solution to expand (4x^2+3x+7)(-2x^2+x+2) is -8x^4-2x^3-3x^2+13x+14