Question

xsquare+4x+4 factorise​

Answer 1

x² + 4x + 4

x² + 2x + 2x + 4

x(x + 2) +2(x + 2)

(x + 2) + (x + 2)

Answer 2

Question:-  Factorize: x² + 4x + 4

Answer:- (x+2) (x+2)

Solution: We are going to solve it by using the splitting the middle term method.

Step 1: Finding the 2 numbers

Find two numbers such that their product will be 4 and their sum would also be 4.

Definitely, those 2 numbers are 2 and 2 (2+2 = 4 and 2*2= 4)

So Yeah that would be our first step.

Step 2: Writing them by Splitting the middle term

So, Now we have our numbers which are 2 and 2, so write them as:

x² + 2x + 2x + 4

We write those numbers like that with the variable. (Since 2x + 2x = 4x and we are given 4x in the question..)

Step 3: Take out the commons

So, Now take out the commons you find out in the expression,

Like Make 2 pairs Say, x² +2x, so try finding out common in these both terms and another 2x + 4 try taking out commons from this pair.

So, it would be like:

x (x +2) + 2( x + 2)

Quick checking tip: Wondering if you are doing your math right, then see what you got inside the brackets, if the expressions inside the brackets are the same that means your doing it right!

Step 4: Factorizing

Kudos! You're at the last step of the problem. Write down the same expression you got as one like: (x + 2)  and the expression outside the bracket as the other that's (x + 2)

So the Answer is: (x + 2) (x + 2)

Additional tip: After you're done with your factorization and you want to check if its right then for that you can just try expanding the answer like the answer is (x + 2) (x + 2) which makes (x + 2)² S you can solve this by using the identity and check if you're getting the same expression as your question!