What is factor 6a^3-21a^2b+2ab^2-7b^3 ?

The solution to factor 6a^3-21a^2b+2ab^2-7b^3 is (2a-7b)(3a^2+b^2)

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factor 6a^3-21a^2b+2ab^2-7b^3

factor

6 a^{3} - 21 a^{2} b + 2 a b^{2} - 7 b^{3}

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

Solution steps

6 a^{3} - 21 a^{2} b + 2 a b^{2} - 7 b^{3}

= (6 a^{3} - 21 a^{2} b) + (2 a b^{2} - 7 b^{3})

Factor out

3 a^{2}

from

6 a^{3} - 21 a^{2} b : 3 a^{2} (2 a - 7 b)

Factor out

b^{2}

from

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

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

Factor out common term

2 a - 7 b

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

8 x - 5 = 6 x + 1

- 2 < \frac{2 x + 6}{x - 5} < 3

2 x^{2} + 9 x + 1 = 0

t^{2} = - 2 t

- 2 (v + 2) + 7 = 3 (v + 6)

What is factor 6a^3-21a^2b+2ab^2-7b^3 ?
The solution to factor 6a^3-21a^2b+2ab^2-7b^3 is (2a-7b)(3a^2+b^2)