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Popular >

expand (3w+5)^3

Solution

expand

(3 w + 5)^{3}

Solution

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

Solution steps

(3 w + 5)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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