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Popular >

expand (x+y+1)^2

Solution

expand

(x + y + 1)^{2}

Solution

x^{2} + 2 x y + 2 x + y^{2} + 2 y + 1

Solution steps

(x + y + 1)^{2}

Apply exponent rule:

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

(x + y + 1)^{2} = (x + y + 1) (x + y + 1)

= (x + y + 1) (x + y + 1)

Distribute parentheses

= xx + x y + x \cdot 1 + y x + yy + y \cdot 1 + 1 \cdot x + 1 \cdot y + 1 \cdot 1

Simplify

xx + x y + x \cdot 1 + y x + yy + y \cdot 1 + 1 \cdot x + 1 \cdot y + 1 \cdot 1 : x^{2} + 2 x y + 2 x + y^{2} + 2 y + 1

= x^{2} + 2 x y + 2 x + y^{2} + 2 y + 1

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Frequently Asked Questions (FAQ)

What is expand (x+y+1)^2 ?
The solution to expand (x+y+1)^2 is x^2+2xy+2x+y^2+2y+1