What is expand (x+3)(2x^2-5x+7) ?

The solution to expand (x+3)(2x^2-5x+7) is 2x^3+x^2-8x+21

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expand (x+3)(2x^2-5x+7)

expand

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

2 x^{3} + x^{2} - 8 x + 21

Solution steps

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

Distribute parentheses

= x \cdot 2 x^{2} + x (- 5 x) + x \cdot 7 + 3 \cdot 2 x^{2} + 3 (- 5 x) + 3 \cdot 7

Simplify

x \cdot 2 x^{2} + x (- 5 x) + x \cdot 7 + 3 \cdot 2 x^{2} + 3 (- 5 x) + 3 \cdot 7 : 2 x^{3} + x^{2} - 8 x + 21

= 2 x^{3} + x^{2} - 8 x + 21

1 \frac{1}{3} - \frac{5}{6}

\frac{x ^{2} + 4 x - 21}{x ^{2} + x - 42}

x^{3} x^{4}

\frac{10}{15}

x (x^{3})

What is expand (x+3)(2x^2-5x+7) ?
The solution to expand (x+3)(2x^2-5x+7) is 2x^3+x^2-8x+21