What is expand (sqrt(x-z))^6 ?

The solution to expand (sqrt(x-z))^6 is x^3-3x^2z+3xz^2-z^3

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expand (sqrt(x-z))^6

expand

(x - z)^{6}

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

Solution steps

(x - z)^{6}

Apply radical rule:

a = a^{\frac{1}{2}}

= ((x - z)^{\frac{1}{2}})^{6}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (x - z)^{\frac{1}{2} \cdot 6}

\frac{1}{2} \cdot 6 = 3

= (x - z)^{3}

Apply Perfect Cube Formula:

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

a = x, b = z

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

\frac{1}{2 ( x + 5 ) ( x - 2 )}

\frac{9 n x ^{2} ( n - 1 )}{2}

64 + 8 X 3

3 (x + 7 = 45)

5 (2 e - 8) + e

What is expand (sqrt(x-z))^6 ?
The solution to expand (sqrt(x-z))^6 is x^3-3x^2z+3xz^2-z^3