Difference between revisions of "2020 AMC 12B Problems/Problem 2"
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==Solution== | ==Solution== | ||
+ | Using difference of squares to factor the left term, we get | ||
+ | <cmath>\frac{100^2-7^2}{70^2-11^2} \cdot \frac{(70-11)(70+11)}{(100-7)(100+7)} = </cmath> | ||
+ | <cmath>\frac{(100-7)(100+7)}{(70-11)(70+11)} \cdot \frac{(70-11)(70+11)}{(100-7)(100+7)}</cmath> | ||
+ | Cancelling all the terms, we get <math>\boxed{\textbf{(A) 1}}</math> as the answer. | ||
==See Also== | ==See Also== |
Revision as of 20:23, 7 February 2020
Problem
What is the value of the following expression?
Solution
Using difference of squares to factor the left term, we get
Cancelling all the terms, we get
as the answer.
See Also
2020 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 1 |
Followed by Problem 3 |
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 | |
All AMC 12 Problems and Solutions |
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