Question

Factorise 6(x+2y)-4(x+2y)²​

Answer 1

Answer:

The answer is $2(x+2y)(3-2x-4y)$

Step-by-step explanation:

 $6(x+2y)-4(x+2y)^2$

$=2\times 3\times (x+2y)-2\times 2\times (x+2y)\times (x+2y)$ ,factor both terms

$=2\times (x+2y)[3-2\times (x+2y)]$, take out common from both

$=2(x+2y)(3-2x-4y)$, simplify