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Popular >

expand (y-4)^3

Solution

expand

(y - 4)^{3}

Solution

y^{3} - 12 y^{2} + 48 y - 64

Solution steps

(y - 4)^{3}

Apply Perfect Cube Formula:

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

(y - 4)^{3} = y^{3} - 3 y^{2} \cdot 4 + 3 y \cdot 4^{2} - 4^{3}

= y^{3} - 3 y^{2} \cdot 4 + 3 y \cdot 4^{2} - 4^{3}

Simplify

y^{3} - 3 y^{2} \cdot 4 + 3 y \cdot 4^{2} - 4^{3} : y^{3} - 12 y^{2} + 48 y - 64

= y^{3} - 12 y^{2} + 48 y - 64

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Frequently Asked Questions (FAQ)

What is expand (y-4)^3 ?
The solution to expand (y-4)^3 is y^3-12y^2+48y-64