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

The solution to factor (2a+6b)(6b-2a)-(2a+6b)^2 is -8a(a+3b)

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

factor

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

- 8 a (a + 3 b)

Solution steps

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

Factor out common term

(2 a + 6 b) : (2 a + 6 b) (6 b - 2 a - (2 a + 6 b))

= (2 a + 6 b) (6 b - 2 a - (2 a + 6 b))

Factor

2 a + 6 b : 2 (a + 3 b)

Factor

6 b - 2 a - (2 a + 6 b) : - 4 a

= 2 (a + 3 b) (- 4 a)

Simplify

2 (a + 3 b) (- 4 a) : - 8 (a + 3 b) a

= - 8 (a + 3 b) a

= - 8 a (a + 3 b)

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What is factor (2a+6b)(6b-2a)-(2a+6b)^2 ?
The solution to factor (2a+6b)(6b-2a)-(2a+6b)^2 is -8a(a+3b)