You can
put this solution on YOUR website!
Factor the polynomial:
4x²y² - 9y² - 45 + 20x²
Swap the last two terms:
4x²y² - 9y² + 20x² - 45
Factor GCF of y² out of just the first two terms:
y²(4x² - 9) + 20x² - 45
Factor GCF of + 5 out of the last two terms:
y²(4x² - 9) + 5(4x² - 9)
Factor GCF of + (4x² - 9) out of those two terms:
(4x² - 9)(y² + 5)
The first factor is the difference of two squares, so
it will factor as the difference times the sum of the
two square roots:
(2x -3)(2x + 3)(y² + 5)
That's completely factored.
Edwin
