Question
83 of
100
Question Palette
(175)² – (75)² = ?
Correct Option:
C
Explanation
Use the difference-of-squares identity:
a^2-b^2=(a-b)(a+b).
Therefore,
175^2-75^2=(175-75)(175+75)
=100×250=25,000.
This is much quicker than squaring both numbers separately.