Question 1070036: Please help factor this 10cx -30c -20x +60. Thanks
Answer by addingup(3677)   (Show Source):
You can put this solution on YOUR website! The Greatest Common Divisor is 10:
10 goes into 10 once, into 30 three times, into 20 twice, and into 60 six times.
So factor the 10 out:
10(cx-3c-2x+6)
Now factor by grouping:
cx-3c-2x+6 = (cx-2x)- 3(c-2)
note here the change in sign. The result is correct:
-3c = -3*c = -3c and -3*-2 = +6
:
Next, factor the x out of the first two terms, and 3 out of the other two:
10x(c-2)-3(c-2)
Finally, what other common terms do we have? We have -2. Factor it out and rearrange the equation:
10(c-2)(x-3)
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Is this correct? Let's FOIL it (First, Outer, Inner, Last
10(c*x+c-3-2*x-2*-3) = 10(cx-3c-2x+6) = 10cx-30c-20x+60 Correct
:
John
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