Question 318409
# 1


{{{(8x^5-36x^4+24x^2)/(4x^2)=(4x^2(2x^3-9x^2+6))/(4x^2)=(cross(4x^2)(2x^3-9x^2+6))/cross(4x^2)=2x^3-9x^2+6}}}


So {{{(8x^5-36x^4+24x^2)/(4x^2)=2x^3-9x^2+6}}}


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# 2


{{{((7/10)x^3-(3/10)x-1/9)- (-(1/10)x^3+(3/10)x-1/9)}}} Start with the given expression.



{{{(7/10)x^3-(3/10)x-1/9+(1/10)x^3-(3/10)x+1/9}}} Distribute.



{{{((7/10)x^3+(1/10)x^3)+(-(3/10)x-(3/10)x)+(-1/9+1/9)}}} Group like terms.



{{{(8/10)x^3-(6/10)x}}} Combine like terms.



{{{(4/5)x^3-(3/5)x}}} Reduce.



So {{{((7/10)x^3-(3/10)x-1/9)- (-(1/10)x^3+(3/10)x-1/9)=(4/5)x^3-(3/5)x}}} 


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# 3


{{{3^16*3^17=3^(16+17)=3^33}}} which simply means that {{{3^16*3^17=3^33}}}