Problema Solution
Use the “difference of squares” rule to factor the following expression:
9X^4-25Y^2
Answer provided by our tutors
first find the square root of the first term: sqrt(9x^4) = 3x^2
then find the square root of the second terms: sqrt(25y^2) = 5y
*when finding the square roots of variables raised to exponents, divide the exponents by 2.
The answer in a difference of two squares problem is always (sqrt of 1st term + sqrt of 2nd term)(sqrt of 1st term - sqrt of second term)
so your answer is:
(3x^2+5y)(3x^2-5y)