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Popular >

expand (3x+y+2)^2

Solution

expand

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

Solution

9 x^{2} + 6 x y + 12 x + y^{2} + 4 y + 4

Solution steps

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

Apply exponent rule:

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

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

= (3 x + y + 2) (3 x + y + 2)

Distribute parentheses

= 3 x \cdot 3 x + 3 x y + 3 x \cdot 2 + y \cdot 3 x + yy + y \cdot 2 + 2 \cdot 3 x + 2 y + 2 \cdot 2

Simplify

3 x \cdot 3 x + 3 x y + 3 x \cdot 2 + y \cdot 3 x + yy + y \cdot 2 + 2 \cdot 3 x + 2 y + 2 \cdot 2 : 9 x^{2} + 6 x y + 12 x + y^{2} + 4 y + 4

= 9 x^{2} + 6 x y + 12 x + y^{2} + 4 y + 4

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Frequently Asked Questions (FAQ)

What is expand (3x+y+2)^2 ?
The solution to expand (3x+y+2)^2 is 9x^2+6xy+12x+y^2+4y+4