document.write( "Question 1209398: Let a and b be complex numbers. If a + b = 4 and a^2 + b^2 = 6 + ab, then what is a^3 + b^3? \n" ); document.write( "
Algebra.Com's Answer #848803 by MathTherapy(10552)\"\" \"About 
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document.write( "Let a and b be complex numbers.  If a + b = 4 and a^2 + b^2 = 6 + ab, then what is a^3 + b^3?\r\n" );
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document.write( "a3 + b3 = (a + b)(a2 - ab + b2) ---- Applying the sum-of-cubes postulate/sum-of-cubes theorem/algebraic identity\r\n" );
document.write( "a3 + b3 = (a + b)(a2 + b2 - ab) \r\n" );
document.write( "a3 + b3 = 4(6 + ab - ab) ----- Substituting 4 for a + b, and 6 + ab for a2 + b2\r\n" );
document.write( "a3 + b3 = 4(6) = 24
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