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How do you multiply open parenthesis Y to the second power minus two close parenthesis open parenthesis two Y plus five close parenthesis?
Victoriano05
(y2 - 2) (2y + 5)
This is a fine opportunity to apply the FOILmethod of algebra.
'FOIL' is a memory word to help you remember how to multiply two binomials ... exactly the task presented here.
'FOIL' stands for 'First', 'Outside', 'Inside', 'Last'. Those are the four pairs of terms you have to multiply, and then add the four products together.
First: (y2...) (2y...) = 2y3
Outside: (y2...) (... +5) = 5y2
Inside: (... -2) (2y... ) = -4y
Last: (... -2) (... +5) = -10
Add all 4 results, and there you have it: 2y3 + 5y2- 4y - 10
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