## Final Answer

## Step-by-step Solution

Problem to solve:

The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: $(a+b)(a-b)=a^2-b^2$, where:

- The first term ($a$) is $5x$.
- The second term ($b$) is $2y$.

Learn how to solve special products problems step by step online.

$\left(5x\right)^2-\left(2y\right)^2$

Learn how to solve special products problems step by step online. Solve the product (5x+2y)(5x-2y). The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2, where:<ul><li>The first term (a) is 5x.</li><li>The second term (b) is 2y.</li></ul>Then:. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power 5^2.