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, 2024 Algebra Difficulty 1.0 Junior Find the answer Canada
The value of $ 3 ( 5 3 − 1 3 ) $ \$3\left(\frac 53-\frac
13\right)\$ $3 ( 3 5 − 3 1 ) $ is
Pick one
A 1 1 1 B 2 2 2 C 3 3 3 D 4 4 4 E 6 6 6
Solution Calculating, $3( 5 3 − 1 3 ) \left(\frac{5}{3}-\frac{1}{3}\right) ( 3 5 − 3 1 ) = 3 ⋅ 5 3 \cdot \frac{5}{3} ⋅ 3 5 - 3 ⋅ 1 3 \cdot
\frac{1}{3} ⋅ 3 1 = 5 - 1 = 4$.
Alternatively, $3( 5 3 − 1 3 ) \left(\frac{5}{3}-\frac{1}{3}\right) ( 3 5 − 3 1 ) = 3 ⋅ 4 3 \cdot \frac{4}{3} ⋅ 3 4 = 4$.
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