What is factor 4(m+7)^2-11(m+7)+6 ?

The solution to factor 4(m+7)^2-11(m+7)+6 is (4m+25)(m+5)

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factor 4(m+7)^2-11(m+7)+6

factor

4 (m + 7)^{2} - 11 (m + 7) + 6

(4 m + 25) (m + 5)

Solution steps

4 (m + 7)^{2} - 11 (m + 7) + 6

Break the expression into groups

= (4 (m + 7)^{2} - 3 (m + 7)) + (- 8 (m + 7) + 6)

Factor out

(m + 7)

from

4 (m + 7)^{2} - 3 (m + 7) : (m + 7) (4 (m + 7) - 3)

Factor out

- 2

from

- 8 (m + 7) + 6 : - 2 (4 (m + 7) - 3)

= (m + 7) (4 (m + 7) - 3) - 2 (4 (m + 7) - 3)

Factor out common term

4 (m + 7) - 3

= (4 (m + 7) - 3) ((m + 7) - 2)

Refine

= (m + 5) (4 (m + 7) - 3)

Expand

4 (m + 7) - 3 : 4 m + 25

= (4 m + 25) (m + 5)

r t + r v - s t - s v

C (10.3)

sin (6 x - 3 y)

(y + z)^{3} + 64

Z Y + X Y - X - Z

What is factor 4(m+7)^2-11(m+7)+6 ?
The solution to factor 4(m+7)^2-11(m+7)+6 is (4m+25)(m+5)