Question

Factorise--4(x-y)^2-12(x-y)+9​

Answer 1

step by step explanation :

take (x-y) as a

4a^2-12a+9

4a^2-6a-6a+9

2a (2a-3)-3 (2a-3)

(2a-3)(2a-3)

(2x-2y-3)(2x-2y-3)

I Hope This Helps You

Have A Nice Day

Answer 2

Step-by-step explanation:

$<p style="color:cyan;font-family:cursive;background:black;font size:25px;">Let x-y be s.</p><p>Therefore, the expression becomes</p><p>4s^{2} -12s+9</p><p>=(2s)^{2} - 2*2s*3+(3)^{2} </p><p>=(2s-3)^{2} </p><p>Substituting s as x-y (as mentioned above) we get:</p><p>[2(x-y)+3]^{2} </p><p>=(2x-2y+3)^{2} </p><p>Ans:=(2x-2y+3)^{2} </p><p></p><p>$