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Popular >

expand (5a+6)^3

Solution

expand

(5 a + 6)^{3}

Solution

125 a^{3} + 450 a^{2} + 540 a + 216

Solution steps

(5 a + 6)^{3}

Apply Perfect Cube Formula:

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

(5 a + 6)^{3} = (5 a)^{3} + 3 (5 a)^{2} \cdot 6 + 3 \cdot 5 a \cdot 6^{2} + 6^{3}

= (5 a)^{3} + 3 (5 a)^{2} \cdot 6 + 3 \cdot 5 a \cdot 6^{2} + 6^{3}

Simplify

(5 a)^{3} + 3 (5 a)^{2} \cdot 6 + 3 \cdot 5 a \cdot 6^{2} + 6^{3} : 125 a^{3} + 450 a^{2} + 540 a + 216

= 125 a^{3} + 450 a^{2} + 540 a + 216

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Frequently Asked Questions (FAQ)

What is expand (5a+6)^3 ?
The solution to expand (5a+6)^3 is 125a^3+450a^2+540a+216