Difference between revisions of "1953 AHSME Problems/Problem 3"
(Created page with "The factors of the expression <math>x^2+y^2</math> are: <math>\textbf{(A)}\ (x+y)(x-y) \qquad \textbf{(B)}\ (x+y)^2 \qquad \textbf{(C)}\ (x^{\frac{2}{3}}+y^{\frac{2}{3}})(x^{...") |
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<math>(x+iy)(x-iy)=x^2+xyi-xyi+(iy)(-iy)=x^2+(-1)(-y^2)=x^2+y^2</math> | <math>(x+iy)(x-iy)=x^2+xyi-xyi+(iy)(-iy)=x^2+(-1)(-y^2)=x^2+y^2</math> | ||
So <math>\boxed{\text{D}}</math> works | So <math>\boxed{\text{D}}</math> works | ||
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+ | ~mathsolver101 |
Revision as of 13:19, 31 July 2015
The factors of the expression are:
Solution
Trying each case out, we see So works
~mathsolver101