document.write( "Question 488110: (-4+6i)(-3+7i) \n" ); document.write( "

Algebra.Com's Answer #333261 by Jstrasner(112) $\"\"$ $\"About$

You can put this solution on YOUR website!
Hey,
\n" ); document.write( "So for this problem we need to do what is called Foiling, which is a special way of solving these types of problems, which are called polynomials.
\n" ); document.write( "So first we multiply the first variable in each parentheses:
\n" ); document.write( "(-4+6i)(-3+7i) => -4 x -3 = 12
\n" ); document.write( "Then the first variable in the first parentheses is multiplied by the second variable in the second parentheses:
\n" ); document.write( "(-4+6i)(-3+7i) => -4 x 7i = -28i
\n" ); document.write( "Then the second variable in the first parentheses is multiplied by the first variable in the second parentheses:
\n" ); document.write( "(-4+6i)(-3+7i) => 6i x -3 = -18i
\n" ); document.write( "Finally the second variable in the first parentheses is multiplied by the second variable in the second parentheses:
\n" ); document.write( "(-4+6i)(-3+7i) => 6i x 7i = 42(i^2). Now when i is squared it becomes -1, so the result is actually -42.
\n" ); document.write( "Now we add all of the results that we got from foiling:
\n" ); document.write( "12 + (-28i) + (-18i) + (-42) = -30 - 46i
\n" ); document.write( "So the answer is -30 - 46i
\n" ); document.write( "I hope this helps! \n" ); document.write( "

\n" );