What is factor (a+b)^2+6(a+b)+9 ?

The solution to factor (a+b)^2+6(a+b)+9 is (a+b+3)^2

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factor (a+b)^2+6(a+b)+9

factor

(a + b)^{2} + 6 (a + b) + 9

(a + b + 3)^{2}

Solution steps

(a + b)^{2} + 6 (a + b) + 9

Rewrite

(a + b)^{2} + 6 (a + b) + 9

(a + b)^{2} + 2 (a + b) \cdot 3 + 3^{2}

= (a + b)^{2} + 2 (a + b) \cdot 3 + 3^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = (a + b), b = 3

= ((a + b) + 3)^{2}

Refine

= (a + b + 3)^{2}

0.5 x^{2} - 6 x + 18

143 k t + 39 k g + 55 y t + 15 y g

1 + (6 d)

4 x^{2} + 8 x + (- 1)

5 ab - 10 a - 3 b + b

What is factor (a+b)^2+6(a+b)+9 ?
The solution to factor (a+b)^2+6(a+b)+9 is (a+b+3)^2