What is factor a^2-4ab-21b^2 ?

The solution to factor a^2-4ab-21b^2 is (a+3b)(a-7b)

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factor a^2-4ab-21b^2

factor

a^{2} - 4 ab - 21 b^{2}

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

Solution steps

a^{2} - 4 ab - 21 b^{2}

Break the expression into groups

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

Factor out

a

from

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

Factor out

- 7 b

from

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

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

Factor out common term

a + 3 b

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

3 x^{2} - 16 x + 8 = 0

\frac{3 x + 4}{2} = 8

2 x + (2) + 3 = 2

0.4 (2 x + 8) - 0.4 = 0.2 (4 x - 12) + 6 x

(x - 3) (x + 8) = 0

What is factor a^2-4ab-21b^2 ?
The solution to factor a^2-4ab-21b^2 is (a+3b)(a-7b)