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Popular >

expand (3x-5)^3

Solution

expand

(3 x - 5)^{3}

Solution

27 x^{3} - 135 x^{2} + 225 x - 125

Solution steps

(3 x - 5)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

= 27 x^{3} - 135 x^{2} + 225 x - 125

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Frequently Asked Questions (FAQ)

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