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Popular >

expand (5x-8)^3

Solution

expand

(5 x - 8)^{3}

Solution

125 x^{3} - 600 x^{2} + 960 x - 512

Solution steps

(5 x - 8)^{3}

Apply Perfect Cube Formula:

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

(5 x - 8)^{3} = (5 x)^{3} - 3 (5 x)^{2} \cdot 8 + 3 \cdot 5 x \cdot 8^{2} - 8^{3}

= (5 x)^{3} - 3 (5 x)^{2} \cdot 8 + 3 \cdot 5 x \cdot 8^{2} - 8^{3}

Simplify

(5 x)^{3} - 3 (5 x)^{2} \cdot 8 + 3 \cdot 5 x \cdot 8^{2} - 8^{3} : 125 x^{3} - 600 x^{2} + 960 x - 512

= 125 x^{3} - 600 x^{2} + 960 x - 512

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Frequently Asked Questions (FAQ)

What is expand (5x-8)^3 ?
The solution to expand (5x-8)^3 is 125x^3-600x^2+960x-512