document.write( "Question 59156: $\"+105a%5E3b%2B27a%5E2b%5E2-33ab%5E3+\"$ Can anyone help me solve this and more importantly, show me the process and some of the rules. \n" ); document.write( "

Algebra.Com's Answer #40555 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
105a^3b+27a^2b^2-33ab^3
\n" ); document.write( "1st: Find the largest common factor in the numbers:
\n" ); document.write( "It is 3
\n" ); document.write( "2nd: Find the largest common factor in powers of \"a\":
\n" ); document.write( "It is a
\n" ); document.write( "3rd Find the largest common factor in powers of \"b\":
\n" ); document.write( "It is b
\n" ); document.write( "4th:
\n" ); document.write( "Factor out the common factor:
\n" ); document.write( "It is 3ab
\n" ); document.write( "You get 3ab(35a^2+9ab-11b^2)
\n" ); document.write( "This is the most factoring you can do with
\n" ); document.write( "this algebraic expression. How do we know
\n" ); document.write( "that?
\n" ); document.write( "We can't find two numbers whose product is
\n" ); document.write( "35*-11=-385 and whose sum is 9
\n" ); document.write( "Chers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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