Question

using identities , evaluate
297 x 303
​

Answer 1

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

We can also write 297 as 3 less than 300 =>300-3

and 303 as 3 more than 300 =>300+3

Now ,

$= > (300 - 3) \times (300 + 3)$

Identity used here :-

$\bold{\boxed{\purple{(x + y)(x - y) = {x}^{2} - {y}^{2}}}}$

$= > {(300)}^{2} - {(3)}^{2}$

$= > 90000 - 9$

$= > 89991$

______________________________________

Calculation :-

ㅤ 300

×ㅤ300

_________

ㅤ000

. 000×

900××

__________

90000

__________

ㅤㅤㅤㅤ

_____________________________________ㅤㅤㅤㅤㅤㅤ

90000

ㅤㅤ-9

________

89991

________

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

We can also write 297 as 3 less than 300 =>300-3

and 303 as 3 more than 300 =>300+3

Now ,

$= > (300 - 3) \times (300 + 3)$

Identity used here :-

$\bold{\boxed{\purple{(x + y)(x - y) = {x}^{2} - {y}^{2}}}}$

$= > {(300)}^{2} - {(3)}^{2}$

$= > 90000 - 9$

$= > 89991$

______________________________________

Calculation :-

ㅤ 300

×ㅤ300

_________

ㅤ000

. 000×

900××

__________

90000

__________

ㅤㅤㅤㅤ

_____________________________________ㅤㅤㅤㅤㅤㅤ

90000

ㅤㅤ-9

________

89991

________