Question

Factorize the expressions - 4ab + (a+b)²​

Answer 1

Given:
=>-4ab+(a+b)^2
=>-4ab+a^2+b^2+2ab
=>a^2-2ab+b^2
=>(a-b)^2

Hope it will help you!!

Answer 2

Question:

Factorize the expressions - 4ab + (a+b)²

Answer:

$(a-b)^2$

Explanation:

Given $-4ab+(a+b)^2$

We can use the formula that is $[(a+b)^2=a^2+2ab+b^2]$.

So using the formula you will get

⇒$-4ab+a^2+2ab+b^2$

You can see that -4ab and 2ab they can be subtracted

⇒$a^2-2ab+b^2$

Now you can see that it is there in the formula that is $[(a-b)^2=a^2-2ab+b^2]$.

⇒Now convert the short formula that is

⇒$(a-b)^2$

Hence the factorized expression is $(a-b)^2$.