Question

Simplify using brackets: $245\times 235–235\times 255$.

• A. 2250
• B. 2350
• C. -235
• D. -2350

Answer 1

Answer: (D)

Distributive property of rational numbers over subtraction:

$(a\times b)-(a\times c)=a\times (b-c)$, here $a,b$ and $c$ are three rational numbers.

Lets evaluate, $245\times 235–235\times 255$

$245\times 235–235\times 255$

$=235\times (245-255)$ [Since, Distributive property of rational numbers over subtraction]

$=235\times (-10)$

$=-2350$

$\therefore 245\times 235–235\times 255=-2350$

Hence, Option D is correct.