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

The solution to expand (-5x+3)(x-5)(2x+7) is -10x^3+21x^2+166x-105

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

expand

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

- 10 x^{3} + 21 x^{2} + 166 x - 105

Solution steps

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

Expand

(- 5 x + 3) (x - 5) (2 x + 7) : (- 5 x^{2} + 28 x - 15) (2 x + 7)

= (- 5 x^{2} + 28 x - 15) (2 x + 7)

Distribute parentheses

= - 5 x^{2} \cdot 2 x - 5 x^{2} \cdot 7 + 28 x \cdot 2 x + 28 x \cdot 7 - 15 \cdot 2 x - 15 \cdot 7

Simplify

- 5 x^{2} \cdot 2 x - 5 x^{2} \cdot 7 + 28 x \cdot 2 x + 28 x \cdot 7 - 15 \cdot 2 x - 15 \cdot 7 : - 10 x^{3} + 21 x^{2} + 166 x - 105

= - 10 x^{3} + 21 x^{2} + 166 x - 105

2 x + 5 - 2 (x + 2)

24 \cdot \frac{1}{2}

(3 x^{4} - 2 x^{3} + 1) + (12 x^{4} + x^{2} - 11)

What is expand (-5x+3)(x-5)(2x+7) ?
The solution to expand (-5x+3)(x-5)(2x+7) is -10x^3+21x^2+166x-105