What is factor 49p^2-28p-5 ?

The solution to factor 49p^2-28p-5 is (7p+1)(7p-5)

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factor 49p^2-28p-5

factor

49 p^{2} - 28 p - 5

(7 p + 1) (7 p - 5)

Solution steps

49 p^{2} - 28 p - 5

Break the expression into groups

= (49 p^{2} + 7 p) + (- 35 p - 5)

Factor out

7 p

from

49 p^{2} + 7 p : 7 p (7 p + 1)

Factor out

- 5

from

- 35 p - 5 : - 5 (7 p + 1)

= 7 p (7 p + 1) - 5 (7 p + 1)

Factor out common term

7 p + 1

= (7 p + 1) (7 p - 5)

3 p = - 39

20 = \frac{n}{4}

7 x^{2} = 18 x - 11

2 x^{3} + 5 x^{2} - x - 6

3 x^{2} y + 9 x^{2} - 12 y - 36