What is factor 4(x+y)^2-8(x+y)+3 ?

The solution to factor 4(x+y)^2-8(x+y)+3 is (2(x+y)-1)(2(x+y)-3)

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factor 4(x+y)^2-8(x+y)+3

factor

4 (x + y)^{2} - 8 (x + y) + 3

(2 (x + y) - 1) (2 (x + y) - 3)

Solution steps

4 (x + y)^{2} - 8 (x + y) + 3

Break the expression into groups

= (4 (x + y)^{2} - 2 (x + y)) + (- 6 (x + y) + 3)

Factor out

2 (x + y)

from

4 (x + y)^{2} - 2 (x + y) : 2 (x + y) (2 (x + y) - 1)

Factor out

- 3

from

- 6 (x + y) + 3 : - 3 (2 (x + y) - 1)

= 2 (x + y) (2 (x + y) - 1) - 3 (2 (x + y) - 1)

Factor out common term

2 (x + y) - 1

= (2 (x + y) - 1) (2 (x + y) - 3)

(tan (3 x))^{2}

y + (- 2)

[- 4.7]

e^{f (x)} - sin (f (g (x)))

3 (a)^{2} - (a) + 2

What is factor 4(x+y)^2-8(x+y)+3 ?
The solution to factor 4(x+y)^2-8(x+y)+3 is (2(x+y)-1)(2(x+y)-3)