Question

Which shows 532−472 being evaluated using the difference of squares method?

1. 532−472=2809−2209=600
2. 532−472=(53+47)(53−47)=(100)3. (6)=600
3. 532−472=(53−47)2=62=36
4. 532−472=(2809+2209)(2809−2209)=3,010,800

Answer 1

The difference of squares method correctly computes 532−472 as (53+47)(53−47) = (100)(6) = 600.

Step-by-step explanation:

The correct way to evaluate 532−472 using the difference of squares method is:

532−472 = (53+47)(53−47) = (100)(6) = 600

The difference of squares is a mathematical technique that utilizes the formula (a+b)(a−b) = a2−b2, where a and b are any numbers. This method takes advantage of the fact that the sum and difference of the same two numbers form a pair of factors for the difference of their squares.