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Popular >

expand (z-3x)^3

Solution

expand

(z - 3 x)^{3}

Solution

z^{3} - 9 z^{2} x + 27 z x^{2} - 27 x^{3}

Solution steps

(z - 3 x)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

z^{3} - 3 z^{2} \cdot 3 x + 3 z (3 x)^{2} - (3 x)^{3} : z^{3} - 9 z^{2} x + 27 z x^{2} - 27 x^{3}

= z^{3} - 9 z^{2} x + 27 z x^{2} - 27 x^{3}

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Frequently Asked Questions (FAQ)

What is expand (z-3x)^3 ?
The solution to expand (z-3x)^3 is z^3-9z^2x+27zx^2-27x^3