What is factor 4a^2+7a-15 ?

The solution to factor 4a^2+7a-15 is (4a-5)(a+3)

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factor 4a^2+7a-15

factor

4 a^{2} + 7 a - 15

(4 a - 5) (a + 3)

Solution steps

4 a^{2} + 7 a - 15

Break the expression into groups

= (4 a^{2} - 5 a) + (12 a - 15)

Factor out

a

from

4 a^{2} - 5 a : a (4 a - 5)

Factor out

3

from

12 a - 15 : 3 (4 a - 5)

= a (4 a - 5) + 3 (4 a - 5)

Factor out common term

4 a - 5

= (4 a - 5) (a + 3)

\frac{2 + 7}{2}

32 + 72

2 + 5 x + 6

\frac{- 4 x ^{4} y ^{2}}{10 x y ^{7}}