Answer:
The expression 100x^2 + 49y^2 is a sum of squares, and it can be factored using the difference of squares formula. The difference of squares formula states that a^2 - b^2 = (a + b)(a - b). In this case, a^2 is (10x)^2, and b^2 is (7y)^2. So, you can factor the expression as follows:
100x^2 + 49y^2 = (10x + 7y)(10x - 7y)
So, the factored form of the expression 100x^2 + 49y^2 is (10x + 7y)(10x - 7y).