Question

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

Answer 1

Answer:

Option C is correct

Step-by-step 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

Answer 2

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