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Popular >

expand (5-2x)^3

Solution

expand

(5 - 2 x)^{3}

Solution

125 - 150 x + 60 x^{2} - 8 x^{3}

Solution steps

(5 - 2 x)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

5^{3} - 3 \cdot 5^{2} \cdot 2 x + 3 \cdot 5 (2 x)^{2} - (2 x)^{3} : 125 - 150 x + 60 x^{2} - 8 x^{3}

= 125 - 150 x + 60 x^{2} - 8 x^{3}

Popular Examples

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Frequently Asked Questions (FAQ)

What is expand (5-2x)^3 ?
The solution to expand (5-2x)^3 is 125-150x+60x^2-8x^3