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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 \cdot 2 + y x + yy + y \cdot 2 + 2 x + 2 y + 2 \cdot 2

Simplify

xx + x y + x \cdot 2 + y x + yy + y \cdot 2 + 2 x + 2 y + 2 \cdot 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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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