What is factor 4p^2+4p-15 ?

The solution to factor 4p^2+4p-15 is (2p-3)(2p+5)

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factor 4p^2+4p-15

factor

4 p^{2} + 4 p - 15

(2 p - 3) (2 p + 5)

Solution steps

4 p^{2} + 4 p - 15

Break the expression into groups

= (4 p^{2} - 6 p) + (10 p - 15)

Factor out

2 p

from

4 p^{2} - 6 p : 2 p (2 p - 3)

Factor out

5

from

10 p - 15 : 5 (2 p - 3)

= 2 p (2 p - 3) + 5 (2 p - 3)

Factor out common term

2 p - 3

= (2 p - 3) (2 p + 5)

8 g^{2} - 14 g + 3

\frac{27}{4}

s^{2} + 45 - 35 = 0

4 x^{2} - 3 x + 9 = 2 x + 1

15 \cdot 8