What is factor 3(x-y)^2+14(x-y)-5 ?

The solution to factor 3(x-y)^2+14(x-y)-5 is (3(x-y)-1)(x-y+5)

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factor 3(x-y)^2+14(x-y)-5

factor

3 (x - y)^{2} + 14 (x - y) - 5

(3 (x - y) - 1) (x - y + 5)

Solution steps

3 (x - y)^{2} + 14 (x - y) - 5

Break the expression into groups

= (3 (x - y)^{2} - (x - y)) + (15 (x - y) - 5)

Factor out

(x - y)

from

3 (x - y)^{2} - (x - y) : (x - y) (3 (x - y) - 1)

Factor out

5

from

15 (x - y) - 5 : 5 (3 (x - y) - 1)

= (x - y) (3 (x - y) - 1) + 5 (3 (x - y) - 1)

Factor out common term

3 (x - y) - 1

= (3 (x - y) - 1) ((x - y) + 5)

Refine

= (x + 5 - y) (3 (x - y) - 1)

x + 2 x - 1

H^{2} T e + I (O H) 7

200 \cdot (e^{2})

(x^{8} y^{8}) - 1

x^{2} - 16 x + (- 8)

What is factor 3(x-y)^2+14(x-y)-5 ?
The solution to factor 3(x-y)^2+14(x-y)-5 is (3(x-y)-1)(x-y+5)