factories {(999)}^{2} - 1
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Answers
Answered by
1
Answer:
{(999)}^{2} - 1
=(999)^2-(1)^2
=(999+1)(999-1)
=(1000)(998)
=998000
By using the identity,
(a^2-b^2)=(a+b)(a-b)
Answered by
1
Answer:
998000.
Step-by-step explanation:
999^2 - 1.
= [(1000-1)^2] - 1
(1000-1)^2 is of the form, (a - b)^2.
Using Identity,
(a - b)^2 = a^2 - 2ab + b^2 .
(1000-1)^2 ==>
1000^2 - 2(1000)(1) + 1^2.
1000000 - 2000 + 1.
=998001 .
Now,
[(1000-1)^2] - 1 ==>
[ 998001 ] - 1
===>
998000.
Hope this helps!!!! Please do mark me BRAINLIEST if you think the answer is worth it ☺️.
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