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Popular >

expand (5b+3)^3

Solution

expand

(5 b + 3)^{3}

Solution

125 b^{3} + 225 b^{2} + 135 b + 27

Solution steps

(5 b + 3)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(5 b)^{3} + 3 (5 b)^{2} \cdot 3 + 3 \cdot 5 b \cdot 3^{2} + 3^{3} : 125 b^{3} + 225 b^{2} + 135 b + 27

= 125 b^{3} + 225 b^{2} + 135 b + 27

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Frequently Asked Questions (FAQ)

What is expand (5b+3)^3 ?
The solution to expand (5b+3)^3 is 125b^3+225b^2+135b+27