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Popular >

expand (1+x+y)^2

Solution

expand

(1 + x + y)^{2}

Solution

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

Solution steps

(1 + x + y)^{2}

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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