What is factor 7b^2+31b-20 ?

The solution to factor 7b^2+31b-20 is (7b-4)(b+5)

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factor 7b^2+31b-20

factor

7 b^{2} + 31 b - 20

(7 b - 4) (b + 5)

Solution steps

7 b^{2} + 31 b - 20

Break the expression into groups

= (7 b^{2} - 4 b) + (35 b - 20)

Factor out

b

from

7 b^{2} - 4 b : b (7 b - 4)

Factor out

5

from

35 b - 20 : 5 (7 b - 4)

= b (7 b - 4) + 5 (7 b - 4)

Factor out common term

7 b - 4

= (7 b - 4) (b + 5)

r^{2} - 8 r + 11 = 0

3 a^{2} + 8 a + 5

(x + 3)^{2} = - 64

y^{2} - 8 y = - 9

c^{3} + b^{6}