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Popular >

expand (x+y-2)^2

Solution

expand

(x + y - 2)^{2}

Solution

x^{2} + 2 x y - 4 x + y^{2} - 4 y + 4

Solution steps

(x + y - 2)^{2}

Apply exponent rule:

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

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

= (x + y - 2) (x + y - 2)

Distribute parentheses

= xx + x y + x (- 2) + y x + yy + y (- 2) - 2 x - 2 y - 2 (- 2)

Simplify

xx + x y + x (- 2) + y x + yy + y (- 2) - 2 x - 2 y - 2 (- 2) : x^{2} + 2 x y - 4 x + y^{2} - 4 y + 4

= x^{2} + 2 x y - 4 x + y^{2} - 4 y + 4

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\frac{\frac{x ^{2} + 9 x + 18}{7 x + 42}}{\frac{x ^{2} - 9}{x}}

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Frequently Asked Questions (FAQ)

What is expand (x+y-2)^2 ?
The solution to expand (x+y-2)^2 is x^2+2xy-4x+y^2-4y+4