Johnsonykeash
contestada

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

Respuesta :

D. The 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 - [tex]60^2-40^2=(60+40)(60-40)=(100)(20)=2000[/tex]

Step-by-step explanation:

Given : Expression  [tex]60^2-40^2[/tex]

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,

[tex]a^2-b^2=(a+b)(a-b)[/tex]

According to question,

a=60 and b=40

[tex]60^2-40^2=(60+40)(60-40)[/tex]

[tex]60^2-40^2=(100)(20)[/tex]

[tex]60^2-40^2=2000[/tex]

Therefore, Option D is correct.