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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 + yy + y (- z) - z x - zy - z (- z)

Simplify

xx + x y + x (- z) + y x + yy + y (- z) - z x - zy - 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}

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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