The sum of two numbers is 60 and their difference is 43 .The difference of there squares is?


We are given:

- The sum of two numbers: \( x + y = 60 \)
- The difference of two numbers: \( x - y = 43 \)

We need to find the difference of their squares: \( x^2 - y^2 \).

Using the algebraic identity:
\[
x^2 - y^2 = (x + y)(x - y)
\]

Substitute the known values into the formula:
\[
x^2 - y^2 = (60)(43)
\]

Now calculate:
\[
x^2 - y^2 = 2580
\]

So, the difference of their squares is \( 2580 \).

Would you like more details or have any other questions?

Here are 5 related questions to consider:
1. What happens when both numbers are equal?
2. How can we find the individual values of \( x \) and \( y \)?
3. What is the sum of their squares instead of the difference?
4. How does the difference of squares formula apply in geometry?
5. Can you generalize this approach for any two numbers?

**Tip:** The difference of squares formula is useful for quickly simplifying problems where two terms are subtracted after being squared.

The sum of two numbers is 60 and their difference is 43. The difference of their squares is?

Learn how to calculate the difference of squares when given the sum (60) and difference (43) of two numbers. This problem explores key algebraic concepts, including the difference of squares formula. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation