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Popular >

expand (x+y+3)^2

Solution

expand

(x + y + 3)^{2}

Solution

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

Solution steps

(x + y + 3)^{2}

Apply exponent rule:

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

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

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

Distribute parentheses

= xx + x y + x \cdot 3 + y x + yy + y \cdot 3 + 3 x + 3 y + 3 \cdot 3

Simplify

xx + x y + x \cdot 3 + y x + yy + y \cdot 3 + 3 x + 3 y + 3 \cdot 3 : x^{2} + 2 x y + 6 x + y^{2} + 6 y + 9

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

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Frequently Asked Questions (FAQ)

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