Question

Find the value of $(0.65{)}^2–(0.35{)}^2$.

• A. 0.5
• B. 0.6
• C. 0.3
• D. 1.0

Answer 1

The correct option is C

0.3

The difference between the squares of any two terms = (The sum of the two terms) $\times$ (Their difference)

$a^2–b^2=(a+b)(a-b)$

Thus, $(0.65{)}^2–(0.35{)}^2$

$=(0.65+0.35)(0.65-0.35)$

$=1\times 0.30$

$=0.3$