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Popular >

expand (w-4)^3

Solution

expand

(w - 4)^{3}

Solution

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

Solution steps

(w - 4)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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