Question

How can i solve this using difference of squares or sum or difference of cubes?50x^2 - 98

Answer 1

First, we can note that the greatest common factor of 50 and 98 is 2, so we can rewrite our expression as:

$2(25x^2-49)$

Now, the term into the parentheses is a difference of 2 squares because

$25x^2-49=(5x+7)(5x-7)$

By substituting this result into the first expression from above, we get

$2(25x^2-49)=2(5x+7)(5x-7)$

Therefore, the answer is:

$2(5x+7)(5x-7)$