Factor completely

4x^3+x^2y-36x-9y

2 answers

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
That's way more clever than I was excepting. Thanks!
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