NCERT Solutions for Class 11 Maths Exercise 8.1 Binomial Theorem in Hindi and English Medium updated for session 2022-2023. All the solutions of Class 11 Maths Exercise 8.1 are given here in PDF and Videos to use free without any login.
NCERT Solutions for Class 11 Maths Exercise 8.1
Class 11 Maths Exercise 8.1 Solutions in Hindi and English Medium
Calculation of Powers in Exercise 8.1 of Class 11 Maths
In the previous classes you studied the squares roots even some of the topics related to polynomial equations. You have also studied powers and calculation of roots. Here in class 11 Maths exercise 8.1 you will learn how to multiply the bigger numbers like (999)³ and more. These are some of the ways that you can save time doing lengthy multiplication of powers. In the algebraic part of the mathematics it includes coefficients, variables, exponents, constants, and operators with addition and subtraction.
Questions of Class 11 Maths Exercise 8.1
As per the introduction of Exercise 8.1, we understand binomials are like a + b and a – b which have only two terms. In exercise 8.1 we will learn the expansion of binomial terms to find some conclusion. It also helps to evaluate (98) ² = (100 – 2) ², (999)³ = (1000 – 1)³, and other such questions.
In class 11 Maths exercise 8.1 student will study more advanced multiplications and their powers that go beyond squares and cubes, like (98)⁵, (101)⁶, and more. This will be a difficult task to accomplish if you go through the normal procedure. This is what the binomial theorem is all about.
Formulae use in Ex. 8.1 of 11th Maths
In exercise 8.1 you will study the expansion and the logical reasons how you can expand it. You will observe that when you expanded (a + b)², the number of terms increases to 3 but the index is still representing 2 for (a + b)².
Here is another thing that you will learn about the index, indices a will lose the power 1 every time on the other side of b will gain 1 power. In exercise 8.1 question number 1 to 5 are just for expansion practice. It will help the students to understand the expansion of Binomial Theorem.
Important questions of Exercise 8.1 of 11th Maths
There are total 14 questions in class 11 Maths exercise 8.1 to solve. Most of the questions are easy to solve and understand. Only questions 12, 13 and 14 are tricky. Question number 14 is frequently asked in exams. These are some of the important observation that you might find difficult to grasp in starting but remembering these observations are important.
You must need to study a lot of the concepts before attempting the exercise 8.1 questions. In the beginning, you will use some of the concepts that you begin with but the difficulty level increases from 11th question onward.