SOLUTION: Please help me find the product: (b+5)(6b-7)

Algebra ->  Expressions -> SOLUTION: Please help me find the product: (b+5)(6b-7)      Log On


   

Question 552425: Please help me find the product: (b+5)(6b-7)
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28b%2B5%29%286b-7%29 Start with the given expression.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%28b%29%2B5%29%28highlight%286b%29-7%29 Multiply the First terms:%28b%29%2A%286%2Ab%29=6%2Ab%5E2.


%28highlight%28b%29%2B5%29%286b%2Bhighlight%28-7%29%29 Multiply the Outer terms:%28b%29%2A%28-7%29=-7%2Ab.


%28b%2Bhighlight%285%29%29%28highlight%286b%29-7%29 Multiply the Inner terms:%285%29%2A%286%2Ab%29=30%2Ab.


%28b%2Bhighlight%285%29%29%286b%2Bhighlight%28-7%29%29 Multiply the Last terms:%285%29%2A%28-7%29=-35.


---------------------------------------------------
So we have the terms: 6%2Ab%5E2, -7%2Ab, 30%2Ab, -35


6%2Ab%5E2-7%2Ab%2B30%2Ab-35 Now add every term listed above to make a single expression.


6b%5E2%2B23b-35 Now combine like terms.


So %28b%2B5%29%286b-7%29 FOILs to 6b%5E2%2B23b-35.


In other words, %28b%2B5%29%286b-7%29=6b%5E2%2B23b-35.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the product: (b+5)(6b-7)
-----
Use FOIL:
F: 6b^2
O: -7b
I: 30b
L: -35
---------------
Combine to get: 6b^2+23b-35
==============================
Cheers,
Stan H.
==============================