Simplify left 1 frac 2 3 right 2 - left frac 2 ... - WAEC Mathematics 2003 Question
Simplify \(\left(1\frac{2}{3}\right)^2 - \left(\frac{2}{3}\right)^2\)
A
\(2\frac{1}{3}\)
B
\(1\frac{1}{3}\)
C
1
D
\(\frac{3}{7}\)
correct option: a
\(\left(1\frac{2}{3}\right)^2 - \left(\frac{2}{3}\right)^2=\left(\frac{5}{3}\right)^2 - \left(\frac{2}{3}\right)^2\)
Difference of two squares
\(\left(\frac{5}{3}-\frac{2}{3}\right)\left(\frac{5}{3}+\frac{2}{3}\right)=\left(\frac{3}{3}\right)\left(\frac{7}{3}\right)\
\frac{7}{3}=2\frac{1}{3}\)
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