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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) - yz + z x + z (- y) + zz

Simplify

xx + x (- y) + x z - y x - y (- y) - yz + z x + z (- y) + zz : 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