SOLUTION: can you solve this?... Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x ? A. –6x2 + 25x + 6 B. 6x2 + 5x +

Algebra ->  Equations -> SOLUTION: can you solve this?... Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x ? A. –6x2 + 25x + 6 B. 6x2 + 5x +      Log On


   

Question 321517: can you solve this?... Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x ?
A. –6x2 + 25x + 6
B. 6x2 + 5x + 6
C. 6x2 – 5x + 6
D. 6x2 – 5x – 6
E. 6x2 – 13x – 6
and show how to work it? please and thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"the product of 3 less than twice x and 2 more than the quantity 3 times x" means that %282x-3%29%283x%2B2%29


%282x-3%29%283x%2B2%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%282x%29-3%29%28highlight%283x%29%2B2%29 Multiply the First terms:%282x%29%2A%283x%29=6x%5E2.


%28highlight%282x%29-3%29%283x%2Bhighlight%282%29%29 Multiply the Outer terms:%282x%29%2A%282%29=4x.


%282x%2Bhighlight%28-3%29%29%28highlight%283x%29%2B2%29 Multiply the Inner terms:%28-3%29%2A%283x%29=-9x.


%282x%2Bhighlight%28-3%29%29%283x%2Bhighlight%282%29%29 Multiply the Last terms:%28-3%29%2A%282%29=-6.


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So we have the terms: 6x%5E2, 4x, -9x, -6


6x%5E2%2B4x-9x-6 Now add every term listed above to make a single expression.


6x%5E2-5x-6 Now combine like terms.


So %282x-3%29%283x%2B2%29 FOILs to 6x%5E2-5x-6.


In other words, %282x-3%29%283x%2B2%29=6x%5E2-5x-6.