Question

Which shows 532 − 472 being evaluated using the difference of squares method? 532 − 472 = 2809 − 2209 = 600 532 − 472 = (53 + 47)(53 − 47) = (100)(6) = 600 532 − 472 = (53 − 47)2 = 62 = 36 532 − 472 = (2809 + 2209)(2809 − 2209) = 3,010,800

Answer 1

I guess you mean 53^2 - 47^2
Its best to use the '^' symbol to avoid confusion.

the second choice is the correct one.

Answer 2

For this case we have that by definition, the difference of squares is given by:

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

We then have the following expression:

`53 ^ 2 - 47 ^ 2`

According to the definition, we rewrite as:

`53 ^ 2 - 47 ^ 2 = (53 + 47) (53-47)`

Then, rewriting we have:

`53 ^ 2 - 47 ^ 2 = (100) (6)\\53 ^ 2 - 47 ^ 2 = 600`

Answer:

Option B

`53 ^ 2 - 47 ^ 2 = (53 + 47) (53-47) = (100) (6) = 600`