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

The solution to expand (x^2+x-2)(3x+7) is 3x^3+10x^2+x-14

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

expand

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

3 x^{3} + 10 x^{2} + x - 14

Solution steps

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

Distribute parentheses

= x^{2} \cdot 3 x + x^{2} \cdot 7 + x \cdot 3 x + x \cdot 7 - 2 \cdot 3 x - 2 \cdot 7

Simplify

x^{2} \cdot 3 x + x^{2} \cdot 7 + x \cdot 3 x + x \cdot 7 - 2 \cdot 3 x - 2 \cdot 7 : 3 x^{3} + 10 x^{2} + x - 14

= 3 x^{3} + 10 x^{2} + x - 14

(a^{2} - 2 ab + b^{2}) (4 a^{2} - b^{2})

x^{3} + 3 x^{2} - x

(\frac{3}{2})^{2} + (\frac{1}{2})^{2}

1 - \frac{4}{x ^{2}}

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

What is expand (x^2+x-2)(3x+7) ?
The solution to expand (x^2+x-2)(3x+7) is 3x^3+10x^2+x-14