What is factor 12a^2-15ab-16a+20b ?

The solution to factor 12a^2-15ab-16a+20b is (4a-5b)(3a-4)

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factor 12a^2-15ab-16a+20b

factor

12 a^{2} - 15 ab - 16 a + 20 b

(4 a - 5 b) (3 a - 4)

Solution steps

12 a^{2} - 15 ab - 16 a + 20 b

= (12 a^{2} - 15 ab) + (20 b - 16 a)

Factor out

3 a

from

12 a^{2} - 15 ab : 3 a (4 a - 5 b)

Factor out

4

from

20 b - 16 a : 4 (5 b - 4 a)

= 3 a (4 a - 5 b) + 4 (5 b - 4 a)

4 (5 b - 4 a) = - 4 (4 a - 5 b)

= 3 a (4 a - 5 b) - 4 (4 a - 5 b)

Factor out common term

4 a - 5 b

= (4 a - 5 b) (3 a - 4)

\frac{5 !}{( 5 - 4 ) ! 4 !}

8 x y^{3} + 56 x^{2} y

3 a^{2} - 13 a + 4

3 n^{2} + 13 n + 4

What is factor 12a^2-15ab-16a+20b ?
The solution to factor 12a^2-15ab-16a+20b is (4a-5b)(3a-4)