Question

Factorise: (2x - y)2

- 14x + 7y -18​

Answer 1

Answer:

(2x - y)(2x - y - 25)

Step-by-step explanation:

( 2x - y )² - 14x + 7y - 18

( 2x - y )² - 7 ( 2x - y ) - 18.

( Taking 7 common from - 14x + 7y )

(2x - y)(2x - y - 7 - 18 )

( Taking 2x - y common )

(2x - y)(2x - y - 25)

Answer 2

Answer:

$\sf(2x−y)^2−14x+7y−18 \\ \\ \sf=(2x−y)^2−7(2x−y)−18 \\ \\ \sf \: Let 2x−y=a=a2−7a−18 \\ \\ \sf=a^2−9a+2a−18 \\ \\ \sf=a(a−9)+2(a−9) \\ \\ \sf=(a−9)(a+2) \\ \\ \sf \: Putting \: the \: value \: of \:  a, \\ \\ \sf(2x−y−9)(2x−y+2)$