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Popular >

expand (y-5)^3

Solution

expand

(y - 5)^{3}

Solution

y^{3} - 15 y^{2} + 75 y - 125

Solution steps

(y - 5)^{3}

Apply Perfect Cube Formula:

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

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

= y^{3} - 3 y^{2} \cdot 5 + 3 y \cdot 5^{2} - 5^{3}

Simplify

y^{3} - 3 y^{2} \cdot 5 + 3 y \cdot 5^{2} - 5^{3} : y^{3} - 15 y^{2} + 75 y - 125

= y^{3} - 15 y^{2} + 75 y - 125

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Frequently Asked Questions (FAQ)

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