What is factor 3b^3-7ab^2+12ab-28a^2 ?

The solution to factor 3b^3-7ab^2+12ab-28a^2 is (3b-7a)(b^2+4a)

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factor 3b^3-7ab^2+12ab-28a^2

factor

3 b^{3} - 7 a b^{2} + 12 ab - 28 a^{2}

(3 b - 7 a) (b^{2} + 4 a)

Solution steps

3 b^{3} - 7 a b^{2} + 12 ab - 28 a^{2}

= (3 b^{3} - 7 b^{2} a) + (12 ba - 28 a^{2})

Factor out

b^{2}

from

3 b^{3} - 7 b^{2} a : b^{2} (3 b - 7 a)

Factor out

4 a

from

12 ba - 28 a^{2} : 4 a (3 b - 7 a)

= b^{2} (3 b - 7 a) + 4 a (3 b - 7 a)

Factor out common term

3 b - 7 a

= (3 b - 7 a) (b^{2} + 4 a)

8 x^{2} + 13 x + 10 = 0

- 2 x^{2} + 144 = 0

3 x^{2} + 2 x = 4

1 + 12 x + 36 x^{2}

5 x = 3

What is factor 3b^3-7ab^2+12ab-28a^2 ?
The solution to factor 3b^3-7ab^2+12ab-28a^2 is (3b-7a)(b^2+4a)