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Popular >

expand (-2a+5)^3

Solution

expand

(- 2 a + 5)^{3}

Solution

- 8 a^{3} + 60 a^{2} - 150 a + 125

Solution steps

(- 2 a + 5)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

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

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

Simplify

(- 2 a)^{3} + 3 (- 2 a)^{2} \cdot 5 + 3 (- 2 a) \cdot 5^{2} + 5^{3} : - 8 a^{3} + 60 a^{2} - 150 a + 125

= - 8 a^{3} + 60 a^{2} - 150 a + 125

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Frequently Asked Questions (FAQ)

What is expand (-2a+5)^3 ?
The solution to expand (-2a+5)^3 is -8a^3+60a^2-150a+125