What is factor 2a^2-7a+5 ?

The solution to factor 2a^2-7a+5 is (a-1)(2a-5)

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factor 2a^2-7a+5

factor

2 a^{2} - 7 a + 5

(a - 1) (2 a - 5)

Solution steps

2 a^{2} - 7 a + 5

Break the expression into groups

= (2 a^{2} - 2 a) + (- 5 a + 5)

Factor out

2 a

from

2 a^{2} - 2 a : 2 a (a - 1)

Factor out

- 5

from

- 5 a + 5 : - 5 (a - 1)

= 2 a (a - 1) - 5 (a - 1)

Factor out common term

a - 1

= (a - 1) (2 a - 5)

8 x^{2} - 29 x - 12

x^{3} - x^{2} + 9 x - 9

4 x^{2} = 10 x - 9

36 + 13 x = 5 (- 16 + 15 x) - 8

6 x - 18