document.write( "Question 945696: Sandy says the product of x2 and x3 +5x2 +1 is x6 +5x4 +x2. Explain the error that Sandy made and give the correct product. \n" ); document.write( "

Algebra.Com's Answer #576868 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "the product of $\"x%5E2\"$ and $\"x%5E3+%2B5x%5E2+%2B1\"$ is $\"x%5E6+%2B5x%5E4+%2Bx%5E2\"$ :\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%28x%5E3+%2B5x%5E2+%2B1%29=x%5E6+%2B5x%5E4+%2Bx%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E3%2Ax%5E2+%2B5x%5E2%2Ax%5E2+%2B1%2Ax%5E2=x%5E6+%2B5x%5E4+%2Bx%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E%283%2B2%29+%2B5x%5E%282%2B2%29+%2Bx%5E2=x%5E6+%2B5x%5E4+%2Bx%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E5+%2B5x%5E4+%2Bx%5E2%3C%3Ex%5E6+%2B5x%5E4+%2Bx%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( "the error that Sandy made was multiplication of $\"x%5E3%2Ax%5E2\"$ ; she got $\"x%5E6\"$ which is incorrect, should be $\"x%5E5\"$ because she multiplied exponents and broke the first basic exponent rule: Whenever you multiply two terms with the same base, you add the exponents. \n" ); document.write( "

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