4x³ + x²y - 36x - 9y
4x³ - 36x + x²y - 9y {re-arranged terms}
4x(x² - 9) + y(x² - 9) {factored out GCF's}
(4x + y)(x² - 9) {factored out x² - 9}
(4x + y)(x + 3)(x - 3) {factored the difference of two squares}
- Algebra House
Factor completely
4x^3+x^2y-36x-9y
2 answers
That's way more clever than I was excepting. Thanks!