Question

The value of the given expression $(284\times 116)-(246\times 154)$ is equal to $=4940$

• A. True
• B. False

Answer 1

The correct option is B

False

The given expression is

$284\times 116-246\times 54$

$=(200+84)(200-84)-(200+46)(200-46)$

$=\left[\right(200{)}^2-\left(84{)}^2\right]-\left[\right(200{)}^2-\left(46{)}^2\right]$

$={200}^2-{84}^2-{200}^2+{46}^2$

$={46}^2-{84}^2$

$=(46+84)(46-84)$

$=130\times -38$

$=-4940$