Using suitable identity, evaluate the following : 999²
Solution:
Given, 999²
We have to evaluate the given expression using a suitable identity.
999² = 1000 - 1
Using algebraic identity,
(a - b)² = a² - 2ab + b²
(1000 - 1)² = (1000)² - 2(1000)(1) + (1)²
= 1000000 - 2000 + 1
= 998000 + 1
= 998001
Therefore, 999² = 998001
✦ Try This: Using suitable identity, evaluate the following : 101²
Given, 101²
We have to evaluate the given expression using a suitable identity.
101² = (100 + 1)²
Using algebraic identity,
(a + b)² = a² + 2ab + b²
(100 + 1)² = (100)² + 2(100)(1) + (1)²
= 10000 + 200 + 1
= 10000 + 201
= 10201
Therefore, 101² = 10201
Using suitable identity, evaluate the following : 999²
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 25(iii)
Using suitable identity, evaluate the following : 999²
Summary:
An expression is a mathematical statement without an equal-to sign (=). On evaluating, the value of 999² is 998001
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