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Popular >

expand (x-y-z)^2

Solution

expand

(x - y - z)^{2}

Solution

x^{2} - 2 x y - 2 x z + y^{2} + 2 yz + z^{2}

Solution steps

(x - y - z)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x - y - z)^{2} = (x - y - z) (x - y - z)

= (x - y - z) (x - y - z)

Distribute parentheses

= xx + x (- y) + x (- z) - y x - y (- y) - y (- z) - z x - z (- y) - z (- z)

Simplify

xx + x (- y) + x (- z) - y x - y (- y) - y (- z) - z x - z (- y) - z (- z) : x^{2} - 2 x y - 2 x z + y^{2} + 2 yz + z^{2}

= x^{2} - 2 x y - 2 x z + y^{2} + 2 yz + z^{2}

Popular Examples

simplify 9+(-3)simplify

9 + (- 3)

simplify (x^4+4x^3)/(x^2+3x-4)simplify

\frac{x ^{4} + 4 x ^{3}}{x ^{2} + 3 x - 4}

simplify (x^3+4x^2-21x)/(x^3-9x)simplify

\frac{x ^{3} + 4 x ^{2} - 21 x}{x ^{3} - 9 x}

expand (z+1)^2 expand

(z + 1)^{2}

simplify (x-2)/(4x)+(x+5)/(10x)simplify

\frac{x - 2}{4 x} + \frac{x + 5}{10 x}

Frequently Asked Questions (FAQ)

What is expand (x-y-z)^2 ?
The solution to expand (x-y-z)^2 is x^2-2xy-2xz+y^2+2yz+z^2