find the product: (x-y)(x+5y)
Are you familiar with polynomial multiplication? FOIL?
Yep, FOIL should the the trick, are you familiar with it?
F - FIRST O - OUTER I - INNER L - LAST
2x^2+5xy-xy-5y ?
Close, but you missed something on that 5y and then combined like terms.
5y^2 ? then t combine it would it be just 5 ?
or 4xy ?
No, , because it is multiplied it is 5yx, so xy+xy+xy+xy+xy-xy
Ah, you fixed it. 4xy, yes.
\(x^2+4xy-5y^2\)
so 2x^2+4xy-5y^2
/cheer Yep.
\[(x-y)(x+5y)\] \[x^2+4 x y-5 y^2\]
Wait... whre did that 2 in front come from? Ummm... Noticed it at the last moment. The x is just squared out fron, no 2. K?
@e.mccormick yeah @xcaseynoel kind of wrote it wrong; she messed up on the 2 in the front...
First \(\times\) First = \(x^2\), Inner \(\times\) Inner = -xy, Outer \(\times\) Outer = \(5xy\), and Last \(\times\) Last = \(-5y^2\) That is what the whole FOIL thing is about.
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