What is expand-10x(x^2-5x+9) ?

The solution to expand-10x(x^2-5x+9) is -10x^3+50x^2-90x

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expand-10x(x^2-5x+9)

expand

- 10 x (x^{2} - 5 x + 9)

- 10 x^{3} + 50 x^{2} - 90 x

Solution steps

- 10 x (x^{2} - 5 x + 9)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

- 10 x (x^{2} - 5 x + 9) = - 10 x x^{2} - 10 x (- 5 x) - 10 x \cdot 9

= - 10 x x^{2} - 10 x (- 5 x) - 10 x \cdot 9

Simplify

- 10 x x^{2} - 10 x (- 5 x) - 10 x \cdot 9 : - 10 x^{3} + 50 x^{2} - 90 x

= - 10 x^{3} + 50 x^{2} - 90 x

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What is expand-10x(x^2-5x+9) ?
The solution to expand-10x(x^2-5x+9) is -10x^3+50x^2-90x