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Popular >

expand (z-5)^3

Solution

expand

(z - 5)^{3}

Solution

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

Solution steps

(z - 5)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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