SOLUTION: The expression (3x+4)(2x-6) is equivalent to 1)6x²-24 2)6x²-10x-24 3)3x²-12x-24 4)2x²+8x-24

Algebra ->  Expressions -> SOLUTION: The expression (3x+4)(2x-6) is equivalent to 1)6x²-24 2)6x²-10x-24 3)3x²-12x-24 4)2x²+8x-24      Log On


   

Question 199019: The expression (3x+4)(2x-6) is equivalent to
1)6x²-24
2)6x²-10x-24
3)3x²-12x-24
4)2x²+8x-24
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283x%2B4%29%282x-6%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%283x%29%2B4%29%28highlight%282x%29-6%29 Multiply the First terms:%283%2Ax%29%2A%282%2Ax%29=6%2Ax%5E2.


%28highlight%283x%29%2B4%29%282x%2Bhighlight%28-6%29%29 Multiply the Outer terms:%283%2Ax%29%2A%28-6%29=-18%2Ax.


%283x%2Bhighlight%284%29%29%28highlight%282x%29-6%29 Multiply the Inner terms:%284%29%2A%282%2Ax%29=8%2Ax.


%283x%2Bhighlight%284%29%29%282x%2Bhighlight%28-6%29%29 Multiply the Last terms:%284%29%2A%28-6%29=-24.


---------------------------------------------------
So we have the terms: 6%2Ax%5E2, -18%2Ax, 8%2Ax, -24


6%2Ax%5E2-18%2Ax%2B8%2Ax-24 Now add every term listed above to make a single expression.


6%2Ax%5E2-10%2Ax-24 Now combine like terms.


So %283x%2B4%29%282x-6%29 FOILs to 6%2Ax%5E2-10%2Ax-24.


In other words, %283x%2B4%29%282x-6%29=6%2Ax%5E2-10%2Ax-24.