Question

evaluate the following:(99)³

Answer 1

(99)3 = (100 − 1)3

= (100)3 − (1)3 − 3(100) (1) (100 − 1)

= 1000000 − 1 − 300(99)

= 1000000 − 1 − 29700

= 970299

here's your answer , hope its helpful...

Answer 2

HEY MATE HERE IS YOUR ANSWER

GIVEN TO EVALUATE

(99)^3

SOLUTION ➡️➡️

NOW IN SUCH QUESTIONS WE NEED TO FIND A SUITABLE IDENTITY FOR EVALUATING SUCH QUESTIONS.

SO HERE IN THIS QUESTION ITS GIVEN TO EVALUATE (99)^3 .

SO WE KNOW THIS THAT

99 IS = 100 - 1

THERE FOR WE CAN WRITE IT AS

. (99)^3 = (100-1)^3

NOW WE KNOW THE IDENTITY

. (a - b)^3 = a^3 - b^3 - 3ab (a - b)

THEREFORE NOW APPLYING THIS IN THE ABOVE QUESTION WE HAVE

(100 -1)^3 = (100)^3 - (1)^3 - 3(100)(1) ( 100-1)

THAT IS

1000000 - 1 - 300 ( 99)

THIS IS EQUAL TO

$1000000 - 1 - 29700$

THAT IS EQUAL TO

$970299$

THEREFORE

${(99)}^{3} = 970299$


THERE FOR YOUR ANSWER IS

970299

HOPE ITS HELPFUL !!

⏺️NIPUN⏺️

BE BRAINLY ☯️