What is expand 5x^2(2x^2+13x-5) ?

The solution to expand 5x^2(2x^2+13x-5) is 10x^4+65x^3-25x^2

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expand 5x^2(2x^2+13x-5)

expand

5 x^{2} (2 x^{2} + 13 x - 5)

10 x^{4} + 65 x^{3} - 25 x^{2}

Solution steps

5 x^{2} (2 x^{2} + 13 x - 5)

Apply the distributive law:

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

5 x^{2} (2 x^{2} + 13 x - 5) = 5 x^{2} \cdot 2 x^{2} + 5 x^{2} \cdot 13 x + 5 x^{2} (- 5)

= 5 x^{2} \cdot 2 x^{2} + 5 x^{2} \cdot 13 x + 5 x^{2} (- 5)

Simplify

5 x^{2} \cdot 2 x^{2} + 5 x^{2} \cdot 13 x + 5 x^{2} (- 5) : 10 x^{4} + 65 x^{3} - 25 x^{2}

= 10 x^{4} + 65 x^{3} - 25 x^{2}

(5 (a + 2)^{0} b^{- 6})^{- 1}

- 8 x - 8 x

(2 - 7 x)^{2}

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

4 + 8 + 9 + 5 + 2 + 7 + 7 + 5 + 8

What is expand 5x^2(2x^2+13x-5) ?
The solution to expand 5x^2(2x^2+13x-5) is 10x^4+65x^3-25x^2