## Introductory Algebra for College Students (7th Edition)

$$6x^2 + 17xy - 45y^2$$
To multiply the two binomials together, we use the FOIL system, where we multiply the first terms, then the outside terms, then the inside terms, and, finally, the last terms: $$(3x)(2x) + (3x)(9y) + (-5y)(2x) + (-5y)(9y)$$ We now multiply out the terms: $$6x^2 + 27xy - 10xy - 45y^2$$ Group like terms together: $$6x^2 + (27xy - 10xy) - 45y^2$$ Combine like terms: $$6x^2 + 17xy - 45y^2$$