Question 195726
Note: use ^ for exponent instead of *



{{{(56x^7-64x^6+56x^4)/(8x^4)}}} Start with the given expression.



{{{(8x^4(7x^3-8x^2+7))/(8x^4)}}} Factor out the GCF {{{8x^4}}} from the numerator



{{{(highlight(8x^4)(7x^3-8x^2+7))/highlight(8x^4)}}} Highlight the common terms.



{{{(cross(8x^4)(7x^3-8x^2+7))/cross(8x^4)}}} Cancel out the common terms.



{{{7x^3-8x^2+7}}} Simplify



So {{{(56x^7-64x^6+56x^4)/(8x^4)=7x^3-8x^2+7}}} where {{{x<>0}}}




Note: you can use a graph to verify your answer.