Question

Which shows 542 − 462 being evaluated using the difference of squares method?

542 − 462 = (2916 + 2116)(2916 − 2116) = 4,025,600
542 − 462 = (54 + 46)(54 − 46) = (100)(8) = 800
542 − 462 = 2916 − 2116 = 800
542 − 462 = (54 − 46)2 = 82 = 64

Answer 1

Answer:
`54^2-46^2=(54+46)(54-46)`

`=(100)(8)=800`

Explanation:

The method finding difference of squares is given by :-

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

Replace a=54 and b=46, then we get the evaluation of
`54^2-46^2` by using the difference of squares method as :

`54^2-46^2=(54+46)(54-46)`

`=(100)(8)=800`

Hence, the second option is the correct option.

Answer 2

The difference of squares method:
a² - b² = (a-b ) (a+b)
54² - 46² = (54+46) · ( 54 + 46 )= 100 · 8 = 800
Answer: B)