document.write( "Question 86134: 1) Factor by grouping:\r
\n" ); document.write( "\n" ); document.write( "18a^3– 24a^2b + 15ab^2– 20b^3
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "2) Solve the following:\r
\n" ); document.write( "\n" ); document.write( "18x^2 + 9x – 2 = 0
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "3)Multiply: (x + 2y)^4 \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4)Simplify the following expression: \r
\n" ); document.write( "\n" ); document.write( "(1/2)^3 + (1/3)^-2 - (1/4)^-2
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #62282 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1) Factor by grouping:\r
\n" ); document.write( "\n" ); document.write( "18a^3– 24a^2b + 15ab^2– 20b^3
\n" ); document.write( "= 6a^2(3a-4b) + 5b^2(3a-4b)
\n" ); document.write( "=(3a-4b)(6a^2+5b^2)
\n" ); document.write( "==========================
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "2) Solve the following:\r
\n" ); document.write( "\n" ); document.write( "18x^2 + 9x – 2 = 0
\n" ); document.write( " 18x^2+12x-3x-2 = 0
\n" ); document.write( " 6x(3x+2) - (3x+2) =0
\n" ); document.write( " (3x+2)(6x-1) =0
\n" ); document.write( "x=-2/3 or x= 1/6\r
\n" ); document.write( "\n" ); document.write( "==========================
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "3)Multiply: (x + 2y)^4
\n" ); document.write( "= 4C4x^4 + 4C3x^3(2y) + 4C2x^2(2y)^2 + 4C1x(2y)^3 + 4C0(2y)^4
\n" ); document.write( "= x^4 + 4x^3(2y) + 6x^2(4y^2) + 4x(8y^3) + 16y^4
\n" ); document.write( "= x^4 + 8x^3y + 24x^2y^2 + 32xy^3 + 16y^4
\n" ); document.write( "================== \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4)Simplify the following expression: \r
\n" ); document.write( "\n" ); document.write( "(1/2)^3 + (1/3)^-2 - (1/4)^-2
\n" ); document.write( "= (1/8) + (1/9) - (1/16)
\n" ); document.write( "lcm = 16*9
\n" ); document.write( "= 18/lcm + 16/lcm - 9/lcm
\n" ); document.write( "=25/(16*9)
\n" ); document.write( "= 25/144
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );