document.write( "Question 319278: Will someone please help me solve these problems.\r
\n" ); document.write( "\n" ); document.write( "1) Find the greatest common factor of the two expression: Simplify
\n" ); document.write( " 20uy^8z^6 and 28u^7y^4\r
\n" ); document.write( "\n" ); document.write( "2) Find the least common multiple of the two expressions: Simplify
\n" ); document.write( " 3t^6x^8y^5 and 12x^3y^6\r
\n" ); document.write( "\n" ); document.write( "3) Factor Completely: 27z^3+125\r
\n" ); document.write( "\n" ); document.write( "4) Factor: 9t+wt+9y+yw\r
\n" ); document.write( "\n" ); document.write( "5) Factor: -8t+xt-24x+3x^2\r
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Algebra.Com's Answer #228604 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1) Find the greatest common factor of the two expression: Simplify
\n" ); document.write( "20uy^8z^6 and 28u^7y^4
\n" ); document.write( "---
\n" ); document.write( "gcf for 20 and 28 is 4
\n" ); document.write( "gcf for u and u^7 is u
\n" ); document.write( "gcf for y^8 and y^4 is y^4
\n" ); document.write( "gcf for z^6 and no z is no z
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\n" ); document.write( "GCF = 4uy^4
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\n" ); document.write( "2) Find the least common multiple of the two expressions: Simplify
\n" ); document.write( "3t^6x^8y^5 and 12x^3y^6
\n" ); document.write( "lcm of 3 and 12 is 12
\n" ); document.write( "lcm of t^6 and no t is t^6
\n" ); document.write( "lcm of x^8 and x^3 is x^8
\n" ); document.write( "lcm of y^5 and y^6 is y^6
\n" ); document.write( "---
\n" ); document.write( "LCM = 12t^6*x^8*y^6
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\n" ); document.write( "3) Factor Completely: 27z^3+125
\n" ); document.write( "No common factor
\n" ); document.write( "-------------------------------
\n" ); document.write( "4) Factor: 9t+wt+9y+yw
\n" ); document.write( "---
\n" ); document.write( "t(9+w) + y(9+w)
\n" ); document.write( "---
\n" ); document.write( "= (9+w)(t+y)
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\n" ); document.write( "5) Factor: -8t+xt-24x+3x^2
\n" ); document.write( "---
\n" ); document.write( "= -(8t -xt + 24x - 3x^2)
\n" ); document.write( "---
\n" ); document.write( "= -(t(8-x) + 3x(8-x))
\n" ); document.write( "---
\n" ); document.write( "= -(8-x)(t+3x)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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