What is factor 8a^2-22a-21 ?

The solution to factor 8a^2-22a-21 is (4a+3)(2a-7)

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factor 8a^2-22a-21

factor

8 a^{2} - 22 a - 21

(4 a + 3) (2 a - 7)

Solution steps

8 a^{2} - 22 a - 21

Break the expression into groups

= (8 a^{2} + 6 a) + (- 28 a - 21)

Factor out

2 a

from

8 a^{2} + 6 a : 2 a (4 a + 3)

Factor out

- 7

from

- 28 a - 21 : - 7 (4 a + 3)

= 2 a (4 a + 3) - 7 (4 a + 3)

Factor out common term

4 a + 3

= (4 a + 3) (2 a - 7)

\frac{2}{3} - (- \frac{1}{4})

- (2^{2})

6 \frac{2}{3} \cdot 8 \frac{1}{3}

\frac{5}{3} (3 x - 6) - (6 - 4 x)

\frac{4}{5} \cdot \frac{5}{8}