What is expand (x^2+3x+2)(x+8) ?

The solution to expand (x^2+3x+2)(x+8) is x^3+11x^2+26x+16

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expand (x^2+3x+2)(x+8)

expand

(x^{2} + 3 x + 2) (x + 8)

x^{3} + 11 x^{2} + 26 x + 16

Solution steps

(x^{2} + 3 x + 2) (x + 8)

Distribute parentheses

= x^{2} x + x^{2} \cdot 8 + 3 xx + 3 x \cdot 8 + 2 x + 2 \cdot 8

Simplify

x^{2} x + x^{2} \cdot 8 + 3 xx + 3 x \cdot 8 + 2 x + 2 \cdot 8 : x^{3} + 11 x^{2} + 26 x + 16

= x^{3} + 11 x^{2} + 26 x + 16

- \frac{9}{4} + \frac{9}{2}

(x + 4)^{3} - 9 x - 36

1805

What is expand (x^2+3x+2)(x+8) ?
The solution to expand (x^2+3x+2)(x+8) is x^3+11x^2+26x+16