What is factor 10a^2+ab-21b^2 ?

The solution to factor 10a^2+ab-21b^2 is (5a-7b)(2a+3b)

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factor 10a^2+ab-21b^2

factor

10 a^{2} + ab - 21 b^{2}

(5 a - 7 b) (2 a + 3 b)

Solution steps

10 a^{2} + ab - 21 b^{2}

Break the expression into groups

= (10 a^{2} - 14 ab) + (15 ab - 21 b^{2})

Factor out

2 a

from

10 a^{2} - 14 ab : 2 a (5 a - 7 b)

Factor out

3 b

from

15 ab - 21 b^{2} : 3 b (5 a - 7 b)

= 2 a (5 a - 7 b) + 3 b (5 a - 7 b)

Factor out common term

5 a - 7 b

= (5 a - 7 b) (2 a + 3 b)

4 x^{2} = 27 x + 40

5 t - 13 = 12 - 5 t

7^{2} + 1 1^{2} = x^{2}

(2 7 y)^{2}

80 g^{2} - 45

What is factor 10a^2+ab-21b^2 ?
The solution to factor 10a^2+ab-21b^2 is (5a-7b)(2a+3b)