document.write( "Question 799809: Factor each expression:
\n" ); document.write( "B. 6(×^2-4×+4)^2+(×^2-4×+4)-1
\n" ); document.write( "C.(4j-2)^2-(2+4j)^2 \n" ); document.write( "

Algebra.Com's Answer #482843 by DrBeeee(684) $\"\"$ $\"About$

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B.
\n" ); document.write( "Given:
\n" ); document.write( "(1) $\"6%2A%28x%5E2-4x%2B4%29%5E2%2B%28x%5E2-4x%2B4%29-1\"$
\n" ); document.write( "Let
\n" ); document.write( "(2) $\"y+=+%28x%5E2-4x%2B4%29\"$ in (1) to get
\n" ); document.write( "(3) $\"6%2Ay%5E2%2By-1\"$ which factors into
\n" ); document.write( "(4) $\"%283y-1%29%2A%282y%2B1%29\"$
\n" ); document.write( "Now set each factor of (3) equal to zero to get
\n" ); document.write( "(5) 3y - 1 = 0 and
\n" ); document.write( "(6) 2y + 1 = 0
\n" ); document.write( "Now use y of (2) in (5) to get
\n" ); document.write( "(7) $\"3%2A%28x%5E2-4x%2B4%29-1+=+0\"$ or
\n" ); document.write( "(8) $\"3%2Ax%5E2-12x%2B12-1+=+0\"$ or
\n" ); document.write( "(9) $\"3%2Ax%5E2-12x%2B11+=+0\"$
\n" ); document.write( "Using the quadratic formula, we can calcculate the two roots of (9) as
\n" ); document.write( "(10) $\"x+=+2+%2B-sqrt%283%29%2F2\"$
\n" ); document.write( "Now use y of (2) in (6) to get
\n" ); document.write( "(11) $\"2%2A%28x%5E2-4x%2B4%29%2B1+=+0\"$ or
\n" ); document.write( "(12) $\"2%2Ax%5E2-8x%2B8%2B1+=+0\"$ or
\n" ); document.write( "(13) $\"2%2Ax%5E2-8x%2B9+=+0\"$
\n" ); document.write( "Using the quadratic formula, we can calcculate the two roots of (9) as
\n" ); document.write( "(14) $\"x+=+4+%2B-i%2Asqrt%282%29%2F2\"$
\n" ); document.write( "Answer to B:

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\n" ); document.write( "\n" ); document.write( "C.
\n" ); document.write( "Given:
\n" ); document.write( "(15) $\"%284j-2%29%5E2-%282%2B4j%29%5E2\"$
\n" ); document.write( "This is the difference of two perfect squares which factors into the product of the sum and difference of the perfect square or
\n" ); document.write( "(16) $\"%28%284j-2%29%2B%282%2B4j%29%29%2A%28%284j-2%29-%282%2B4j%29%29\"$ or
\n" ); document.write( "(17) $\"%288j%29%2A%28-4%29\"$ or
\n" ); document.write( "(18) $\"-32j\"$
\n" ); document.write( "Answer to C: -32j
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