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Popular >

expand (x+y-5)^2

Solution

expand

(x + y - 5)^{2}

Solution

x^{2} + 2 x y - 10 x + y^{2} - 10 y + 25

Solution steps

(x + y - 5)^{2}

Apply exponent rule:

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

(x + y - 5)^{2} = (x + y - 5) (x + y - 5)

= (x + y - 5) (x + y - 5)

Distribute parentheses

= xx + x y + x (- 5) + y x + yy + y (- 5) - 5 x - 5 y - 5 (- 5)

Simplify

xx + x y + x (- 5) + y x + yy + y (- 5) - 5 x - 5 y - 5 (- 5) : x^{2} + 2 x y - 10 x + y^{2} - 10 y + 25

= x^{2} + 2 x y - 10 x + y^{2} - 10 y + 25

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Frequently Asked Questions (FAQ)

What is expand (x+y-5)^2 ?
The solution to expand (x+y-5)^2 is x^2+2xy-10x+y^2-10y+25