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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 \cdot 2 a \cdot 5^{2} + 5^{3}

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

Simplify

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