What is factor 6a^2+5ab-6b^2 ?

The solution to factor 6a^2+5ab-6b^2 is (3a-2b)(2a+3b)

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factor 6a^2+5ab-6b^2

factor

6 a^{2} + 5 ab - 6 b^{2}

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

Solution steps

6 a^{2} + 5 ab - 6 b^{2}

Break the expression into groups

= (6 a^{2} - 4 ab) + (9 ab - 6 b^{2})

Factor out

2 a

from

6 a^{2} - 4 ab : 2 a (3 a - 2 b)

Factor out

3 b

from

9 ab - 6 b^{2} : 3 b (3 a - 2 b)

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

Factor out common term

3 a - 2 b

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

9 x^{2} - 48 x y + 64 y^{2}

∣ 3 - 6 x ∣ = 15

- 4 q + 64 = 0

∣ 2 x - 7 ∣ = 17

7 - 3 ∣ 3 - 2 x ∣ = - 29

What is factor 6a^2+5ab-6b^2 ?
The solution to factor 6a^2+5ab-6b^2 is (3a-2b)(2a+3b)