document.write( "Question 68560: 81x^4-16y^4
\n" ); document.write( "(p+8q)^2-10(p+8q)+25 \n" ); document.write( "

Algebra.Com's Answer #48778 by funmath(2933) $\"\"$ $\"About$

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81x^4-16y^4
\n" ); document.write( "These are easier if you remember that to factor the difference of perfect squares:
\n" ); document.write( " $\"highlight%28a%5E2-b%5E2=%28a%2Bb%29%28a-b%29%29\"$
\n" ); document.write( " $\"%289x%5E2%29%5E2-%284y%5E2%29%5E2\"$ a=9x^2 and b=4y^2
\n" ); document.write( " $\"%289x%5E2%2B4y%5E2%29%289x%5E2-4y%5E2%29\"$
\n" ); document.write( "The sum of perfect squares is prime, but the second set of parentheses is the difference of perfect squares and can be factored:
\n" ); document.write( " $\"%289x%5E2%2B4y%5E2%29%28%283x%29%5E2-%282y%29%5E2%29\"$ a=3x and b=2y
\n" ); document.write( " $\"highlight%28%289x%5E2%2B4y%5E2%29%283x%2B2y%29%283x-2y%29%29\"$
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\n" ); document.write( "(p+8q)^2-10(p+8q)+25
\n" ); document.write( "These are easier if you remember that a perfect square trinomial can be factored:
\n" ); document.write( " $\"highlight%28a%5E2-2ab%2Bb%5E2=%28a-b%29%5E2%29\"$
\n" ); document.write( " $\"%28p%2B8q%29%5E2-2%2A%28p%2B8q%29%2A5%2B5%5E2\"$ a=(p+8q) and b=5
\n" ); document.write( " $\"%28%28p%2B8q%29-5%29%5E2\"$
\n" ); document.write( " $\"highlight%28%28p%2B8q-5%29%5E2%29\"$
\n" ); document.write( ":
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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