Q. 2 D5.0( 8 Votes )

# Evaluate the following products without actual multiplication.501 × 501

501 can be written as (500 + 1)

501 × 501 = (500 + 1) × (500 + 1)

501 × 501 = (500 + 1)2

501 × 501 = (500 + 1) × (500 + 1)

501 × 501 = (500 + 1)2

Using identity (a + b)2 = a2 + 2ab + b2

Here a = 500 and b = 1

501 × 501 = 5002 + 2(500)(1) + 12

501 × 501 = 250000 + 1000 + 1

501 × 501 = 251001

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Polynomials - Zero to Hero42 mins
Genius Quiz | Polynomials40 mins
Zeros and Degrees of a Polynomial41 mins
Genius Quiz | Division of Algebraic Expressions37 mins
Champ Quiz | Polynomials29 mins
Introduction to Polynomials37 mins
Quiz | Imp. Qs. on Algebraic Identities65 mins
Basic understanding of Polynomials37 mins
QUiz on Previous year NTSE Questions45 mins
Methods to find zeroes of a Polynomial-246 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses