Question

(x-2y)^2 +7(x-2y)+12

Answer 1

Answer:

( x - 2y + 4 ) ( x - 2y + 3 )

Step-by-step explanation :

Let ( x - 2y ) as 'a' , and substitute the values ;

( x - 2y )² + 7 ( x - 2y ) + 12

⇒ a² + 7 a + 12

⇒ a² + 4 a + 3 a + 12

⇒ a ( a + 4 ) + 3 ( a + 4 )

⇒ ( a + 4 ) ( a + 3 )

Now,

Putting the value of a, we get ;

⇒ ( a + 4 ) ( a + 3 )

⇒ ( x - 2y + 4 ) ( x - 2y + 3 )

Hence, the answer is ( x - 2y + 4 ) ( x - 2y + 3 ).

Answer 2

let x-2y= Z

Z^2 +7Z+12

Z^2+ 4Z+3Z+12

Z(Z+4) +3(Z+4)

(Z+4)(Z+3)

putting value of Z

(x-2y+4)(x-2y+3)

answer ---(x-2y+4)(x-2y+3)