Home » Simplify (left(1frac{2}{3}right)^2 – left(frac{2}{3}right)^2)

Simplify (left(1frac{2}{3}right)^2 – left(frac{2}{3}right)^2)

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})

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