Question

Simplify: $0.54\times 0.54-0.46\times 0.46$ =?

• A. $(0.54-0.46{)}^2$
• B. $(0.08{)}^2$
• C. $0.08$
• D. $8$

Answer 1

The correct option is C $0.08$

Given, $0.54\times 0.54-0.46\times 0.46$,

i.e. $0.54\times 0.54-0.46\times 0.46$ $=(0.54{)}^2-(0.46{)}^2$.

We know, $a^2-b^2=(a+b)(a-b)$.

Then,

$0.54\times 0.54-0.46\times 0.46$ $=(0.54{)}^2-(0.46{)}^2$

$=(0.54+0.46)(0.54-0.46)$

$=\left(1\right)\left(0.08\right)$

$=0.08$.

Therefore, option $C$ is correct,