Maths-

General

Easy

Question

# (𝑥 − 2)^{2} =

- 𝑥
^{2} − 4 - 𝑥
^{2} − 4𝑥 + 2 - 𝑥
^{2} + 4𝑥 + 4 - 𝑥
^{2} − 4𝑥 + 4

^{2}− 4^{2}− 4𝑥 + 2^{2}+ 4𝑥 + 4^{2}− 4𝑥 + 4Hint:

### The methods used to find the product of binomials are called special products.

Multiplying a number by itself is often called squaring.

For example (*x* + 3)(*x* + 3) = (*x* + 3)2

## The correct answer is: 𝑥^{2} − 4𝑥 + 4

### (𝑥 − 2)^{2} can be written as (𝑥 − 2)(𝑥 − 2)

(𝑥 − 2)(𝑥 − 2) = 𝑥(𝑥 − 2) − 2(𝑥 − 2)

= 𝑥(𝑥) + 𝑥(-2) - 2(𝑥) - 2(-2)

= 𝑥^{2} - 2𝑥 - 2𝑥 + 2^{2}

= 𝑥^{2} - 4𝑥 + 4

Final Answer:

The simplified value of (𝑥 − 2)^{2} is 𝑥^{2} - 4𝑥 + 4. Hence, option d is correct.

^{2}- 2𝑥 - 2𝑥 + 2

^{2}

^{2}- 4𝑥 + 4

Final Answer:

The simplified value of (𝑥 − 2)

^{2}is 𝑥

^{2}- 4𝑥 + 4. Hence, option d is correct.

This question can be easily solved by using the formula

(a - b)2 = a2 - 2ab + b2

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