Question 945696


the product of {{{x^2}}} and {{{x^3 +5x^2 +1}}} is {{{x^6 +5x^4 +x^2}}}:

{{{x^2(x^3 +5x^2 +1)=x^6 +5x^4 +x^2}}}

{{{x^3*x^2 +5x^2*x^2 +1*x^2=x^6 +5x^4 +x^2}}}

{{{x^(3+2) +5x^(2+2) +x^2=x^6 +5x^4 +x^2}}}

{{{x^5 +5x^4 +x^2<>x^6 +5x^4 +x^2}}}

the error that Sandy made was multiplication of {{{x^3*x^2}}}; she got {{{x^6}}} which is incorrect, should be {{{x^5}}} because she multiplied exponents and broke the first basic exponent rule: Whenever you multiply two terms with the same base, you add the exponents.