simplify the equation

Question

X^2y^2-25x^2y^4 all over xy^3+2xy^2-35xy

Answer 1

Greetings! Lets solve this shall we ?

So, we must simplify the given expression (x²y² - 25x²y⁴) / (xy³+2xy²-35xy). We first simplify the top and bottom by factoring out an (x²y²) from the numerator and (xy) from the denominator to obtain

x²y² (1 - 25y²) / xy (y² + 2y - 35).............Then we cancel (xy) and factor the numerator and denominator such that

xy (1+5y)(1-5y) / (y+7)(y-5)

I hope this helped!