What is expand (2a-5b)(4a^2+10ab+25b^2) ?

The solution to expand (2a-5b)(4a^2+10ab+25b^2) is 8a^3-125b^3

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expand (2a-5b)(4a^2+10ab+25b^2)

expand

(2 a - 5 b) (4 a^{2} + 10 ab + 25 b^{2})

8 a^{3} - 125 b^{3}

Solution steps

(2 a - 5 b) (4 a^{2} + 10 ab + 25 b^{2})

Distribute parentheses

= 2 a \cdot 4 a^{2} + 2 a \cdot 10 ab + 2 a \cdot 25 b^{2} - 5 b \cdot 4 a^{2} - 5 b \cdot 10 ab - 5 b \cdot 25 b^{2}

Simplify

2 a \cdot 4 a^{2} + 2 a \cdot 10 ab + 2 a \cdot 25 b^{2} - 5 b \cdot 4 a^{2} - 5 b \cdot 10 ab - 5 b \cdot 25 b^{2} : 8 a^{3} - 125 b^{3}

= 8 a^{3} - 125 b^{3}

(x - 2)^{2} + 9 (x - 2) + 4

2 x^{2} + 5 x^{2} - 4 x^{2} - x^{2}

(3 y + 4)^{2}

\frac{144}{180}

35 - \frac{5}{3}

What is expand (2a-5b)(4a^2+10ab+25b^2) ?
The solution to expand (2a-5b)(4a^2+10ab+25b^2) is 8a^3-125b^3