What is factor 2(m+2)^2-13(m+2)+20 ?

The solution to factor 2(m+2)^2-13(m+2)+20 is (2m-1)(m-2)

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factor 2(m+2)^2-13(m+2)+20

factor

2 (m + 2)^{2} - 13 (m + 2) + 20

(2 m - 1) (m - 2)

Solution steps

2 (m + 2)^{2} - 13 (m + 2) + 20

Break the expression into groups

= (2 (m + 2)^{2} - 5 (m + 2)) + (- 8 (m + 2) + 20)

Factor out

(m + 2)

from

2 (m + 2)^{2} - 5 (m + 2) : (m + 2) (2 (m + 2) - 5)

Factor out

- 4

from

- 8 (m + 2) + 20 : - 4 (2 (m + 2) - 5)

= (m + 2) (2 (m + 2) - 5) - 4 (2 (m + 2) - 5)

Factor out common term

2 (m + 2) - 5

= (2 (m + 2) - 5) ((m + 2) - 4)

Refine

= (m - 2) (2 (m + 2) - 5)

Expand

2 (m + 2) - 5 : 2 m - 1

= (2 m - 1) (m - 2)

90

2 a c - 2 a d + 3 b c - 3 b d

9 d^{10} e^{8} - 100 f^{6} g^{4}

5 10 + 10 i

+ 22 - 9 (x + 3 y) - (x + 3 y)^{2}

What is factor 2(m+2)^2-13(m+2)+20 ?
The solution to factor 2(m+2)^2-13(m+2)+20 is (2m-1)(m-2)