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

The solution to expand (2x^2-x+4)(x^2+3x+2) is 2x^4+5x^3+5x^2+10x+8

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

expand

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

2 x^{4} + 5 x^{3} + 5 x^{2} + 10 x + 8

Solution steps

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

Distribute parentheses

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

Simplify

2 x^{2} x^{2} + 2 x^{2} \cdot 3 x + 2 x^{2} \cdot 2 - x x^{2} - x \cdot 3 x - x \cdot 2 + 4 x^{2} + 4 \cdot 3 x + 4 \cdot 2 : 2 x^{4} + 5 x^{3} + 5 x^{2} + 10 x + 8

= 2 x^{4} + 5 x^{3} + 5 x^{2} + 10 x + 8

80 n^{3} + 30 n^{2} - 56 n - 21

\frac{2}{x + 1} + \frac{1}{x + 2}

(6 x^{2} - 4 x - 5) - (3 x^{2} - 7 x + 2)

8 (2 x - 3) - 6 x

8 x^{3} + 64 y^{9}

What is expand (2x^2-x+4)(x^2+3x+2) ?
The solution to expand (2x^2-x+4)(x^2+3x+2) is 2x^4+5x^3+5x^2+10x+8