Question

7(x-2y)²-25(x-2y)+12 factorize​

Answer 1

Answer:

$7x^{2}+28y^{2}-28xy-25x+50y+12$

Step-by-step explanation:

$7(x-2y)^{2}-25(x-2y)+12$

Using formula:-

$(a-b)^{2} = a^{2}+b^{2}-2ab$

$7(x-2y)^{2}-25(x-2y)+12$ = $7[x^{2}+(2y)^{2}-2(x)(2y)] -(25x - 50y) + 12$

= $7[x^{2}+4y^{2}-4xy] -(25x - 50y) + 12$

= $7x^{2}+28y^{2}-28xy-25x-50y+12$

= $7x^{2}+28y^{2}-28xy-25x+50y+12$

$7(x-2y)^{2}-25(x-2y)+12$ =  $7x^{2}+28y^{2}-28xy-25x+50y+12$