Question

Select the expression that is equivalent to (x – 3)2.

A. x2 – 3x + 6
B. x2 – 3x + 9
C. x2 – 6x + 9
D. x2 – 6x + 6

Answer 1

C.

The middle term would contain two -3x terms, which when added will give you -6x. Also, the positive 9 is due to two -3s being multiplied together

Answer 2

Option C is correct

Explanation:

Given the expression
`(x-3)^2`. we have to simplify the given expression and choose the equivalent expression from the given options.

Expression:
`(x-3)^2`

Using the identity

`(a-b)^2=a^2+b^2-2ab`

Put a=x and b=3, we get

`(x-3)^2=x^2+3^2-2(x)(3)`

`=x^2+9-6x`

⇒
`(x-3)^2=x^2-6x+9`

Hence, option C is correct