4(x-y)²-12(x-y)+9 factorise
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Answer: {2(x - y) - 3} {2(x - y) - 3}
Step-by-step explanation:
Let , (x - y) be n.
4n² - 12n + 9
= 4n² - 6n - 6n + 9
= 2n(2n - 3) - 3(2n - 3)
= (2n - 3) (2n - 3)
= (2n - 3)²
Now , put n = (x - y)
{ 2(x - y) - 3 }²
= { 2(x - y) - 3 } { 2(x - y) - 3 }
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