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Popular >

expand ((x-3)+y)^2

Solution

expand

((x - 3) + y)^{2}

Solution

x^{2} - 6 x + 2 x y + y^{2} - 6 y + 9

Solution steps

((x - 3) + y)^{2}

Simplify

(x - 3) + y : x - 3 + y

= (x - 3 + y)^{2}

Apply exponent rule:

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

(x - 3 + y)^{2} = (x - 3 + y) (x - 3 + y)

= (x - 3 + y) (x - 3 + y)

Distribute parentheses

= xx + x (- 3) + x y - 3 x - 3 (- 3) - 3 y + y x + y (- 3) + yy

Simplify

xx + x (- 3) + x y - 3 x - 3 (- 3) - 3 y + y x + y (- 3) + yy : x^{2} - 6 x + 2 x y + y^{2} - 6 y + 9

= x^{2} - 6 x + 2 x y + y^{2} - 6 y + 9

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Frequently Asked Questions (FAQ)

What is expand ((x-3)+y)^2 ?
The solution to expand ((x-3)+y)^2 is x^2-6x+2xy+y^2-6y+9