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

The solution to expand (x+3)(2x^2+3x+7) is 2x^3+9x^2+16x+21

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

expand

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

2 x^{3} + 9 x^{2} + 16 x + 21

Solution steps

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

Distribute parentheses

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

Simplify

x \cdot 2 x^{2} + x \cdot 3 x + x \cdot 7 + 3 \cdot 2 x^{2} + 3 \cdot 3 x + 3 \cdot 7 : 2 x^{3} + 9 x^{2} + 16 x + 21

= 2 x^{3} + 9 x^{2} + 16 x + 21

4 + (- 8)

4 + (- 9)

(x - 1)^{2}

(x - 3)^{6}

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

What is expand (x+3)(2x^2+3x+7) ?
The solution to expand (x+3)(2x^2+3x+7) is 2x^3+9x^2+16x+21