document.write( "Question 35705: Can some one please help explain these in detail? I am so lost. Thank you\r
\n" ); document.write( "\n" ); document.write( "Factor completely:
\n" ); document.write( "9x^2 -16y^2\r
\n" ); document.write( "\n" ); document.write( "3x^2-2x-8\r
\n" ); document.write( "\n" ); document.write( "3x^2 + 12x +12\r
\n" ); document.write( "\n" ); document.write( "Thanks again for all your help!\r
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\n" ); document.write( "\n" ); document.write( "Thank you
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Algebra.Com's Answer #21835 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Factor:
\n" ); document.write( "1) \"9x%5E2+-+16y%5E2\" This is the difference of two squares and can be factored as follows:
\n" ); document.write( "\"A%5E2+-+B%5E2+=+%28A%2BB%29%28A-B%29\" Applying this to your problem:
\n" ); document.write( "\"9x%5E2+-+16y%5E2+=+%283x%29%5E2+-+%284y%29%5E2\" = \"%283x%2B4y%29%283x-4y%29\"\r
\n" ); document.write( "\n" ); document.write( "2) \"3x%5E2+-+2x+-+8\"
\n" ); document.write( "The factors of 3x^2 are:(3x)(x)
\n" ); document.write( "The factors of -8 are: (-1)(8) or (-2)(4) or (2)(-4)
\n" ); document.write( "Try \"%283x%2B4%29%28x-2%29+=+3x%5E2-6x%2B4x-8\"= \"3x%5E2-2x-8\"
\n" ); document.write( "The factors are: \"%283x%2B4%29%28x-2%29\"\r
\n" ); document.write( "\n" ); document.write( "3) \"3x%5E2%2B12x%2B12\"
\n" ); document.write( "The factors of 3x are:(3x)(x)
\n" ); document.write( "The factor of 12 are: (1)(12) or (2)(6) or (3)(4)
\n" ); document.write( "Try \"%283x%2B6%29%28x%2B2%29+=+3x%5E2%2B6x%2B6x%2B12\"=\"3x%5E2%2B12x%2B12\"
\n" ); document.write( "The factors are: \"%283x%2B6%29%28x%2B2%29\"
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