Johnsonykeash
Answered

Which shows 60^2 − 40^2 being evaluated using the difference of squares method?



(A)60^2-40^2=(3600+1600)(3600-1600)=10,400,000

(B)6^2-40^2=3600-1600=2,000

(C)60^2-40^2=(60-40)^2=20^2=400

(D)60^2-40^2=(60+40)(60-40)=(100)(20)=2,000

Verified Answer :

DThe answer has to be 2,000, eliminating A and C. B doesn't even use the original equation, as well as incorrectly solving the method, so D is the correct answer, even if you don't understand the principles.

Answer:

Option D - \(60^2-40^2=(60+40)(60-40)=(100)(20)=2000\)

Step-by-step explanation:

Given : Expression  \(60^2-40^2\)

To find : Which shows expression being evaluated using the difference of squares method?

Solution :

The best method to find the difference of squares method is by using identity,

\(a^2-b^2=(a+b)(a-b)\)

According to question,

a=60 and b=40

\(60^2-40^2=(60+40)(60-40)\)

\(60^2-40^2=(100)(20)\)

\(60^2-40^2=2000\)

Therefore, Option D is correct.

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