What is expand (3x-4)(x^2+6x+7) ?

The solution to expand (3x-4)(x^2+6x+7) is 3x^3+14x^2-3x-28

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expand (3x-4)(x^2+6x+7)

expand

(3 x - 4) (x^{2} + 6 x + 7)

3 x^{3} + 14 x^{2} - 3 x - 28

Solution steps

(3 x - 4) (x^{2} + 6 x + 7)

Distribute parentheses

= 3 x x^{2} + 3 x \cdot 6 x + 3 x \cdot 7 - 4 x^{2} - 4 \cdot 6 x - 4 \cdot 7

Simplify

3 x x^{2} + 3 x \cdot 6 x + 3 x \cdot 7 - 4 x^{2} - 4 \cdot 6 x - 4 \cdot 7 : 3 x^{3} + 14 x^{2} - 3 x - 28

= 3 x^{3} + 14 x^{2} - 3 x - 28

432 + 650

+ 3 x - 6

x^{4} - 6 x^{3} + 9 x^{2}

2 a^{2} b - 32 a^{4} b

\frac{- 7 - 49}{28}

What is expand (3x-4)(x^2+6x+7) ?
The solution to expand (3x-4)(x^2+6x+7) is 3x^3+14x^2-3x-28