Question

answer the question then I will be very much helpfull ...​

Answer 1

Answer:

a=(x-2)(x-3)

b=(m+n)^2

Step-by-step explanation:

a=x^2-5x+6

6=2*3

5=2+3

(4th identity x^2+(a+b)x+ab so finding out 2 numbers so that product of them is 6 and their sum is 5)

now,

x^2-2x-3x+6

x(x-2)-3(x-2)   (Taking x as common)

(x-2)(x-3)

b=(m-n)^2+4mn

(m-n)^2=m^2-2mn+n^2(According to (a-b)^2 Property)

m^2-2mn+n^2+4mn  

m^2+2mn+n^2 (Solving like terms)

Now as we can see this expression(m^2+2mn+n^2) is in the form of (a+b)^2 where

a=m

b=n

Therfore answer=

(m+n)^2

Hope it helps

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