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}

x^{2} - 8 + 15

a^{2} + ab + a r + b r

ab + b c - a d - c d

- 4 b + (5 f - 5 e)

a^{3} + 1 5^{2} + 75 a + 125

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