Question

Which shows 60^2 − 40^2 being evaluated using the difference of squares method?
***I will give the first person a medal if they answer ASAP***

Answer 1

What are the options?

Answer 2

A) 602 − 402 = (3600 + 1600)(3600 − 1600) = 10,400,000
B) 602 − 402 = 3600 − 1600 = 2,000
C) 602 − 402 = (60 − 40)2 = 202 = 400
D) 602 − 402 = (60 + 40)(60 − 40) = (100)(20) = 2,000

Answer 3

Okay, so do you remember the difference of squares method?

Answer 4

Yes

Answer 5

What is it?

Answer 6

DIFFERENCE OF PERFECT SQUARES METHOD:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Step 1: Factor out the GCF.
Step 2: Determine whether the binomial is a difference of two squares.
Step 3: Factor completely.
~ a2 − b2= (a + b)(a − b)
Step 4: Check your factors.

Answer 7

Perfect. So, it says:
a^2-b^2 = (a+b)(a-b)
We have,
60^2-40^2 (We know this is a difference of squares because there is a difference sign (-) and also they both are to the power 2)
Now, use that formula on this.

Answer 8

Is the answer "D"...
60² − 40² = (60 + 40)(60 − 40) = (100)(20) = 2,000

Answer 9

Yes!

Answer 10

Thank you so much!!!

Answer 11

No problem (:

Answer 12

Now, how do I give you a medal?

Answer 13

You already did lol

Answer 14

Thanks again!

Answer 15

ofc