What is expand 5ab^2(-2a-5ab^3) ?

The solution to expand 5ab^2(-2a-5ab^3) is -10a^2b^2-25a^2b^5

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expand 5ab^2(-2a-5ab^3)

expand

5 a b^{2} (- 2 a - 5 a b^{3})

- 10 a^{2} b^{2} - 25 a^{2} b^{5}

Solution steps

5 a b^{2} (- 2 a - 5 a b^{3})

Apply the distributive law:

a (b - c) = ab - a c

5 a b^{2} (- 2 a - 5 a b^{3}) = 5 a b^{2} (- 2 a) - 5 a b^{2} \cdot 5 a b^{3}

= 5 a b^{2} (- 2 a) - 5 a b^{2} \cdot 5 a b^{3}

Simplify

5 a b^{2} (- 2 a) - 5 a b^{2} \cdot 5 a b^{3} : - 10 a^{2} b^{2} - 25 a^{2} b^{5}

= - 10 a^{2} b^{2} - 25 a^{2} b^{5}

(\frac{5 ^{- 4}}{5 ^{2}})^{3}

20 - (- 11)

\frac{2}{3} 4

\frac{a - b}{a + b}

- 6 a - (2 a)

What is expand 5ab^2(-2a-5ab^3) ?
The solution to expand 5ab^2(-2a-5ab^3) is -10a^2b^2-25a^2b^5