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Popular >

expand (5x+1)^3

Solution

expand

(5 x + 1)^{3}

Solution

125 x^{3} + 75 x^{2} + 15 x + 1

Solution steps

(5 x + 1)^{3}

Apply Perfect Cube Formula:

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

(5 x + 1)^{3} = (5 x)^{3} + 3 (5 x)^{2} \cdot 1 + 3 \cdot 5 x \cdot 1^{2} + 1^{3}

= (5 x)^{3} + 3 (5 x)^{2} \cdot 1 + 3 \cdot 5 x \cdot 1^{2} + 1^{3}

Simplify

(5 x)^{3} + 3 (5 x)^{2} \cdot 1 + 3 \cdot 5 x \cdot 1^{2} + 1^{3} : 125 x^{3} + 75 x^{2} + 15 x + 1

= 125 x^{3} + 75 x^{2} + 15 x + 1

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Frequently Asked Questions (FAQ)

What is expand (5x+1)^3 ?
The solution to expand (5x+1)^3 is 125x^3+75x^2+15x+1