What is expand (x+2)(x^2+5x+2) ?

The solution to expand (x+2)(x^2+5x+2) is x^3+7x^2+12x+4

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expand (x+2)(x^2+5x+2)

expand

(x + 2) (x^{2} + 5 x + 2)

x^{3} + 7 x^{2} + 12 x + 4

Solution steps

(x + 2) (x^{2} + 5 x + 2)

Distribute parentheses

= x x^{2} + x \cdot 5 x + x \cdot 2 + 2 x^{2} + 2 \cdot 5 x + 2 \cdot 2

Simplify

x x^{2} + x \cdot 5 x + x \cdot 2 + 2 x^{2} + 2 \cdot 5 x + 2 \cdot 2 : x^{3} + 7 x^{2} + 12 x + 4

= x^{3} + 7 x^{2} + 12 x + 4

50 + 8

\frac{2}{5} - \frac{5}{6}

\frac{6 x ^{2} - x y - 2 y ^{2}}{2 x + y}

9 \times 25

- \frac{15}{10}

What is expand (x+2)(x^2+5x+2) ?
The solution to expand (x+2)(x^2+5x+2) is x^3+7x^2+12x+4