Q. Simplify the expression completely if possible.7x221x3−168x2Answer:
Factor out GCF: Factor out the greatest common factor from the numerator.The greatest common factor of 21x3 and 168x2 is 21x2.Factor out 21x2 from the numerator.(21x3−168x2)=21x2(x−8)
Divide factored numerator: Divide the factored numerator by the denominator.We have (21x2(x−8))/(7x2).Since 21x2 is divisible by 7x2, we can simplify the expression by dividing both terms by 7x2.(21x2)/(7x2)=3(x−8)/(1)=x−8
Write simplified expression: Write the simplified expression.After dividing, we are left with 3(x−8).This simplifies to 3x−24.
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