Simplify (left(1frac{2}{3}right)^2 – left(frac{2}{3}right)^2)
-
A.
(2frac{1}{3}) -
B.
(1frac{1}{3}) -
C.
1 -
D.
(frac{3}{7})
Correct Answer: Option A
Explanation
(left(1frac{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}=2frac{1}{3})