document.write( "Question 355517: parentheses 4 square root x + 2 close parentheses to the 2nd power \n" ); document.write( "

Algebra.Com's Answer #253958 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%284sqrt%28x%29+%2B+2%29%5E2\"$
\n" ); document.write( "One way to simplify this is to use FOIL. A faster way would be to use the pattern:
\n" ); document.write( " $\"%28a+%2B+b%29%5E2+=+a%5E2+%2B+2ab+%2B+b%5E2\"$
\n" ); document.write( "In your expression, \"a\" is $\"4sqrt%28x%29\"$ and \"b\" is 2. So by the pattern we get:
\n" ); document.write( " $\"%284sqrt%28x%29%29%5E2+%2B+2%284sqrt%28x%29%29%282%29+%2B+2%5E2\"$
\n" ); document.write( "which simplifies as follows:
\n" ); document.write( " $\"16x+%2B+8sqrt%28x%29+%2B+4\"$
\n" ); document.write( "(If you use FOIL, you should end up with the same thing.)
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