What is factor (2x+y)^2-9(2x+y)+20 ?

The solution to factor (2x+y)^2-9(2x+y)+20 is (2x+y-4)(2x+y-5)

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factor (2x+y)^2-9(2x+y)+20

factor

(2 x + y)^{2} - 9 (2 x + y) + 20

(2 x + y - 4) (2 x + y - 5)

Solution steps

(2 x + y)^{2} - 9 (2 x + y) + 20

Break the expression into groups

= ((2 x + y)^{2} - 4 (2 x + y)) + (- 5 (2 x + y) + 20)

Factor out

(2 x + y)

from

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

Factor out

- 5

from

- 5 (2 x + y) + 20 : - 5 ((2 x + y) - 4)

= (2 x + y) ((2 x + y) - 4) - 5 ((2 x + y) - 4)

Factor out common term

(2 x + y) - 4

= ((2 x + y) - 4) ((2 x + y) - 5)

Refine

= (2 x + y - 4) (2 x + y - 5)

\frac{π}{2} \cdot π

\frac{1}{2} \cdot \frac{5}{2}

24 j - 16

3 x^{2} + 4 x - 15

x^{4} - 1 \leq - 2 x^{2} + 98

What is factor (2x+y)^2-9(2x+y)+20 ?
The solution to factor (2x+y)^2-9(2x+y)+20 is (2x+y-4)(2x+y-5)