Maths-
General
Easy
Question
(𝑥 − 2)2 =
- 𝑥2 − 4
- 𝑥2 − 4𝑥 + 2
- 𝑥2 + 4𝑥 + 4
- 𝑥2 − 4𝑥 + 4
Hint:
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: 𝑥2 − 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)
= 𝑥2 - 2𝑥 - 2𝑥 + 22
= 𝑥2 - 4𝑥 + 4
Final Answer:
The simplified value of (𝑥 − 2)2 is 𝑥2 - 4𝑥 + 4. Hence, option d is correct.
Final Answer:
The simplified value of (𝑥 − 2)2 is 𝑥2 - 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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