What is expand (5x^3-4x^2+x)(-3x^2+6x-7) ?

The solution to expand (5x^3-4x^2+x)(-3x^2+6x-7) is -15x^5+42x^4-62x^3+34x^2-7x

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expand (5x^3-4x^2+x)(-3x^2+6x-7)

expand

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

- 15 x^{5} + 42 x^{4} - 62 x^{3} + 34 x^{2} - 7 x

Solution steps

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

Distribute parentheses

= 5 x^{3} (- 3 x^{2}) + 5 x^{3} \cdot 6 x + 5 x^{3} (- 7) - 4 x^{2} (- 3 x^{2}) - 4 x^{2} \cdot 6 x - 4 x^{2} (- 7) + x (- 3 x^{2}) + x \cdot 6 x + x (- 7)

Simplify

5 x^{3} (- 3 x^{2}) + 5 x^{3} \cdot 6 x + 5 x^{3} (- 7) - 4 x^{2} (- 3 x^{2}) - 4 x^{2} \cdot 6 x - 4 x^{2} (- 7) + x (- 3 x^{2}) + x \cdot 6 x + x (- 7) : - 15 x^{5} + 42 x^{4} - 62 x^{3} + 34 x^{2} - 7 x

= - 15 x^{5} + 42 x^{4} - 62 x^{3} + 34 x^{2} - 7 x

\frac{6}{24} + \frac{8}{24}

\frac{2}{18}

x^{3} - 7 x^{2} + 17 x - 15

8 x - 14 - 2 x

(x - 1)^{7}

What is expand (5x^3-4x^2+x)(-3x^2+6x-7) ?
The solution to expand (5x^3-4x^2+x)(-3x^2+6x-7) is -15x^5+42x^4-62x^3+34x^2-7x