Question 597422: 8-2(3y+2)+5y(y+3)
Found 2 solutions by wraith87, rapaljer:
Answer by wraith87(4)   (Show Source):
You can put this solution on YOUR website! I pressume you are trying to simplify the expression
x = 8-2(3y+2)+5y(y+3)
x = 8-6y+4+5y^2+3
x = 5y^2-6y+11 <--- quadratic form
y^2-6y+55
what multiplies to 55 and add to -6
+5 -11
therefore
x = 5y^2+5y-11y+11
x = 5y(y+1)-11(y+1)
x = (5y-11)(y+1) <--- factorised
Answer by rapaljer(4671)  (Show Source):
You can put this solution on YOUR website! First, remove parentheses:
8-2(3y+2) +5y(y+3)
8-6y -4 +5y^2 + 15y
Arrange in order with highest powers of the variable first:
5y^2 -6y + 15y + 8 - 4
Combine like terms:
5y^2 + 9y + 4
For additional explanation on COMBINING LIKE TERMS and the DISTRIBUTIVE PROPERTY, you really need to see my non-traditional explanation that is available FREE on my own website. The easiest way to find the website is to use the easy to spell and easy to remember link www.mathinlivingcolor.com. On this single page website, there is a link at the bottom of the page that takes you to my Homepage.
Near the top of my homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time", and choose Basic Algebra (Chapter 1). Look for Section 1.06 Distributive Property and Combining Like Terms. If you have trouble understanding this section, then be sure to go back and look at my Sections 1.02, 1.03, and 1.05 on Signed Numbers, Order of Operations, and Variables. You really need to be good at these sections before you continue with the rest of the chapter!!
Anyway, I think you will find explanations that may be easier to understand than your traditional textbooks, and many of the exercises from these sections are solved in color on the "MATH IN LIVING COLOR" pages that go with these sections.
If you like my website, please tell your friends and family. It's all FREE. You can contact me by Email at rapaljer@seminolestate.edu.
Dr. Robert J. Rapalje, Retired Professor of Mathematics
Seminole State College of Florida
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