document.write( "Question 83585: Factor each of the following trinomial completely please with a step by step explanation so I can understand what you did and how you did it. Thank You\r
\n" ); document.write( "\n" ); document.write( "2a^3 - 52a^2 b + 96ab^2 \n" ); document.write( "
Algebra.Com's Answer #60132 by ankor@dixie-net.com(22740)\"\" \"About 
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Factor each of the following trinomial completely please with a step by step explanation so I can understand what you did and how you did it. Thank You
\n" ); document.write( "2a^3 - 52a^2b + 96 ab^2
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\n" ); document.write( "Factor out 2a from each term, we then have:
\n" ); document.write( "2a(a^2 - 26ab + 48b^2)
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\n" ); document.write( "(a^2 - 26ab + 48b^2) can be factored to (a-24)(a-2) so we have:
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\n" ); document.write( "2a(a - 24b)(a - 2b)
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\n" ); document.write( "Note on factoring:
\n" ); document.write( "Since the last term is positive we know that the factors will have the same sign
\n" ); document.write( "Since the middle term is negative we know that both will be negative
\n" ); document.write( "Find the two factors of 48 that will add up to the middle term (26) 2 + 24 but here it would -2b * -24b
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