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

The solution to x^2(x-3)-7(2x+5)x^2 is -13x^3-38x^2

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

simplify

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

- 13 x^{3} - 38 x^{2}

Solution steps

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

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

Expand

x^{2} (x - 3) : x^{3} - 3 x^{2}

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

Expand

- 7 x^{2} (2 x + 5) : - 14 x^{3} - 35 x^{2}

= x^{3} - 3 x^{2} - 14 x^{3} - 35 x^{2}

Group like terms

= x^{3} - 14 x^{3} - 3 x^{2} - 35 x^{2}

Add similar elements:

x^{3} - 14 x^{3} = - 13 x^{3}

= - 13 x^{3} - 3 x^{2} - 35 x^{2}

Add similar elements:

- 3 x^{2} - 35 x^{2} = - 38 x^{2}

= - 13 x^{3} - 38 x^{2}

24 p^{3} + 15 p^{2} - 56 p - 35

2112

(- 2 - 4 i) (1 - i)

1 0^{0.8}

\frac{2}{4} + \frac{5}{6}

What is x^2(x-3)-7(2x+5)x^2 ?
The solution to x^2(x-3)-7(2x+5)x^2 is -13x^3-38x^2