document.write( "Question 164908: multiply (2x-3)(4x exponent of 2+5x-6) \n" ); document.write( "

Algebra.Com's Answer #121614 by midwood_trail(310) $\"\"$ $\"About$

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(2x - 3) (4x^2 + 5x - 6)\r
\n" ); document.write( "\n" ); document.write( "You are multiplying a binomial by a trinomial.\r
\n" ); document.write( "\n" ); document.write( "Multiply one term at a time.\r
\n" ); document.write( "\n" ); document.write( "We start by multiplying the trinomial by 2x.\r
\n" ); document.write( "\n" ); document.write( "2x times 4x^2 = 8x^3\r
\n" ); document.write( "\n" ); document.write( "2x times 5x = 10x^2\r
\n" ); document.write( "\n" ); document.write( "2x times - 6 = -12x\r
\n" ); document.write( "\n" ); document.write( "We now do the same thing using -3.\r
\n" ); document.write( "\n" ); document.write( "-3 times 4x^2 = -12x^2\r
\n" ); document.write( "\n" ); document.write( "-3 times 5x = -15x\r
\n" ); document.write( "\n" ); document.write( "-3 times - 6 = 18\r
\n" ); document.write( "\n" ); document.write( "We now put evertything together and simplify by combining like terms.\r
\n" ); document.write( "\n" ); document.write( "8x^3 + 10x^2 - 12x - 12x^2 - 15x + 18\r
\n" ); document.write( "\n" ); document.write( "8x^3 -2x^2 - 27x + 18\r
\n" ); document.write( "\n" ); document.write( "That's it.\r
\n" ); document.write( "\n" ); document.write( "Did you follow?\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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