1955 AHSME Problems/Problem 47
Revision as of 21:56, 14 February 2021 by Coolmath34 (talk | contribs) (Created page with "== Problem 47== The expressions <math>a+bc</math> and <math>(a+b)(a+c)</math> are: <math> \textbf{(A)}\ \text{always equal}\qquad\textbf{(B)}\ \text{never equal}\qquad\text...")
Problem 47
The expressions 
and 
are:
Solution
Using the FOIL method, we see that 
We want to solve
![\[a + bc = a^2 + ab + ac + bc\]](http://latex.artofproblemsolving.com/a/f/8/af89451fb95b007c0e1b818bbd1e731e4fd3c4ca.png)
![\[a = a^2 + ab + ac\]](http://latex.artofproblemsolving.com/c/b/9/cb962b5fd7e5bafc60073f5ce11e627efd515cfb.png)
These expressions are equal only when 
See Also
| 1955 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 46 |
Followed by Problem 48 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
