document.write( "Question 430120: Expand & simplify. 5(3x-1) + 4(x^2 - 3x + 3)(x + 6) \n" ); document.write( "

Algebra.Com's Answer #298700 by haileytucki(390) $\"\"$ $\"About$

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5(3x-1)+4(x^(2)-3x+3)(x+6)\r
\n" ); document.write( "\n" ); document.write( "Multiply 5 by each term inside the parentheses.
\n" ); document.write( "15x-5+4(x^(2)-3x+3)(x+6)\r
\n" ); document.write( "\n" ); document.write( "Multiply each term in the first polynomial by each term in the second polynomial.
\n" ); document.write( "15x-5+4(x^(2)*x+x^(2)*6-3x*x-3x*6+3*x+3*6)\r
\n" ); document.write( "\n" ); document.write( "Multiply each term in the first polynomial by each term in the second polynomial.
\n" ); document.write( "15x-5+4(x^(3)+3x^(2)-15x+18)\r
\n" ); document.write( "\n" ); document.write( "Multiply 4 by each term inside the parentheses.
\n" ); document.write( "15x-5+4x^(3)+12x^(2)-60x+72\r
\n" ); document.write( "\n" ); document.write( "Since 15x and -60x are like terms, add -60x to 15x to get -45x.
\n" ); document.write( "-45x-5+4x^(3)+12x^(2)+72\r
\n" ); document.write( "\n" ); document.write( "Add 72 to -5 to get 67.
\n" ); document.write( "-45x+67+4x^(3)+12x^(2)\r
\n" ); document.write( "\n" ); document.write( "Reorder the polynomial -45x+67+4x^(3)+12x^(2) alphabetically from left to right, starting with the highest order term.
\n" ); document.write( "4x^(3)+12x^(2)-45x+67 \n" ); document.write( "

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