2014 · Q19
What should be added to the expression x(x + a)(x + 2a)(x + 3a) so that the sum may be a perfect square?
Elementary MathematicsAlgebra
- A9a^2
- B4a^2
- Ca^4
- DNone of the above
Explanation
x(x+a)(x+2a)(x+3a) = (x^2+3ax)(x^2+3ax+2a^2); adding a^4 completes (x^2+3ax+a^2)^2.