What is factor (2x-3y)^2+2(2x-3y)-35 ?

The solution to factor (2x-3y)^2+2(2x-3y)-35 is (2x-3y-5)(2x-3y+7)

Popular >

factor (2x-3y)^2+2(2x-3y)-35

factor

(2 x - 3 y)^{2} + 2 (2 x - 3 y) - 35

(2 x - 3 y - 5) (2 x - 3 y + 7)

Solution steps

(2 x - 3 y)^{2} + 2 (2 x - 3 y) - 35

Break the expression into groups

= ((2 x - 3 y)^{2} - 5 (2 x - 3 y)) + (7 (2 x - 3 y) - 35)

Factor out

(2 x - 3 y)

from

(2 x - 3 y)^{2} - 5 (2 x - 3 y) : (2 x - 3 y) ((2 x - 3 y) - 5)

Factor out

7

from

7 (2 x - 3 y) - 35 : 7 ((2 x - 3 y) - 5)

= (2 x - 3 y) ((2 x - 3 y) - 5) + 7 ((2 x - 3 y) - 5)

Factor out common term

(2 x - 3 y) - 5

= ((2 x - 3 y) - 5) ((2 x - 3 y) + 7)

Refine

= (2 x - 3 y - 5) (2 x + 7 - 3 y)

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

[(a + 3 b) + 4 c] [(a + 3 b) + 9 c]

z^{6} + 6 z^{4} + 12 z^{2} + 8

(6 a + 5)^{2} - 15 (6 a + 5) + 50

l {e^{2 t} cosh (t)}

What is factor (2x-3y)^2+2(2x-3y)-35 ?
The solution to factor (2x-3y)^2+2(2x-3y)-35 is (2x-3y-5)(2x-3y+7)