Converting into perfect square

To convert a given expression into a perfect square, we need to follow certain steps and techniques. Let’s take some examples and understand the process.

Example 1: x2 x 2

Step 1: Group the first two terms: x2 x 2 = (x)2 x 2
Step 2: Add and subtract the square of half of the coefficient of the third term: (x)2 x 2 + (1)2 - (1)2
Step 3: Rearrange the terms: (x + 1)2 - 1

Therefore, x2 x 2 can be converted to (x + 1)2 - 1.

Example 2: 3x

Step 1: Factor out the coefficient: 3x = 3(x)
Step 2: Add and subtract the square of half of the coefficient of the remaining term: 3(x) + (1.5)2 - (1.5)2
Step 3: Simplify: 3(x + 1.5)2 - (2.25)

Therefore, 3x can be converted to 3(x + 1.5)2 - (2.25).

In general, to convert an expression into a perfect square, we need to follow the below steps:

Steps to convert into perfect square:
1. Group the first two terms if possible.
2. Factor out the coefficient of the remaining term if there is any.
3. Add and subtract the square of half of the coefficient of the remaining term.
4. Simplify and rearrange the terms if necessary.

By following these steps, we can convert any expression into a perfect square.

Frstly..the coe of x^2 should b 1..then half the coe of x and square it then add & subtract..now u ll get perfect square...fr ex1)x^2+x+(1/2)^2-(1/2)^2=(x+1/2)^2-1/4...2)x^2+3x+(3/2)^2-(3/2)^2=(x+3/2)^2-9/4....hope u got it....