Question
Evaluate:
$(218)^2-(217)^2$
$(218)^2-(217)^2$
✓
Answer
We have,
$(n+1)^2-n^2=(n+1)+n$
Taking $n =140$ and $( n +1)=141$
We get,
$(218)^2-(217)^2=(218+217)=435$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Solve:
$16 a ^2- b ^4$
→$16 a ^2- b ^4$
Can the following figures be parallelograms. Justify your answer.
Find the following products:
$(4 a+5 b) \times(5 a-6 b)$
→$(4 a+5 b) \times(5 a-6 b)$
Factorize of the following expressions:
$a(a-2 b-c)+2 b c$
→$a(a-2 b-c)+2 b c$
Factorise:
$25-a^2-b^2-2 a b$
→$25-a^2-b^2-2 a b$
Divide $x^5+x^4+x^3+x^2+x+1$ by $x^3+1$
→Write the following numbers in usual form:
$1.679\times10^9$
→$1.679\times10^9$
In a simultaneous throw of a pair of dice, find the probability of getting:an even number on one and a multiple of 3 on the other.
By what least number should the given number be divided to get a perfect square number? In case, find the number whose square is the new number.
$4056$
→$4056$
By taking three different values of n verify the truth of the following statement:
If $n$ is even, then $n^3$ is also even.
→If $n$ is even, then $n^3$ is also even.