What is factor 3a^2-8ab-28b^2 ?

The solution to factor 3a^2-8ab-28b^2 is (a+2b)(3a-14b)

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factor 3a^2-8ab-28b^2

factor

3 a^{2} - 8 ab - 28 b^{2}

(a + 2 b) (3 a - 14 b)

Solution steps

3 a^{2} - 8 ab - 28 b^{2}

Break the expression into groups

= (3 a^{2} + 6 ab) + (- 14 ab - 28 b^{2})

Factor out

3 a

from

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

Factor out

- 14 b

from

- 14 ab - 28 b^{2} : - 14 b (a + 2 b)

= 3 a (a + 2 b) - 14 b (a + 2 b)

Factor out common term

a + 2 b

= (a + 2 b) (3 a - 14 b)

11 - 2

(4 a^{2} - a + 2)^{2}

(3^{4}) (3^{5})

3 a + 2 b - 8 a + b

- \frac{240}{2 ( - 2 )}

What is factor 3a^2-8ab-28b^2 ?
The solution to factor 3a^2-8ab-28b^2 is (a+2b)(3a-14b)