RS Aggarwal Class 8 Maths Chapter 7 Ex 7.5 Solutions: In this exercise, the students will study the problems based on the factorization of binomial expressions expressible as the difference of two squares. The Mathematics experts have solved the questions correctly from each segment. The solutions are a detailed & step-by-step reference guide to the queries of the students. The students can easily download these solutions in PDF format & access them online as well as offline.
These solutions ease out the exam preparation level and enable them to achieve excellent ranks in the Class 8th Maths final exams. RS Aggarwal Class 8 Maths Chapter 7 Ex 7.5 Solutions are solved as per the CBSE syllabus to ensure maximum exam preparation for the students. Each concept included in this exercise is solved in an easy language that enables the students to learn & revise each topic with maximum accuracy.
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Important Definition for RS Aggarwal Class 8 Maths Chapter 7 Ex 7.5 Solutions
This exercise includes topics based on the Factorization of binomial expressions expressible as the difference of two squares with examples for better understanding of the topics. These solutions assist the students to speed up their exam preparation & achieve good marks in the exams.
- Factorization of binomial expressions expressible as the difference of two squares Whenever you have a binomial with every term being squared (having an exponent of 22), & they have subtraction as the middle sign, you must have the case of difference of two squares.
- Difference of Squares
The difference of two squares is a theorem that describes that if a quadratic equation can be written as a product of two binomials in which one exhibits the difference of the square roots & the other exhibits the sum of the square roots. This theorem is not applicable to the sum of squares.
- Formula of Difference of Squares
The difference of square formula is an algebraic form of the equation that is used to describe the differences between two square values. A difference of squares is described as a2 – b2 where the 1st & the last term are referred to as perfect squares.
Factoring the difference of the two squares gives a2 – b2 = (a + b) (a – b)
- Steps to Factor Difference of Squares
(i)Check if the terms have the greatest common factor (GCF) & factor it out. Must
include the GCF in the final answer
(ii)Determine the numbers that will generate the same results & apply the formula of a2– b2 = (a + b) (a – b) or (a – b) (a + b)
(iii)Check whether the remaining terms can be factored any further.
For instance: Factor 64 – x2
Solution: The square of 8 is 64, so we can rewrite the expression as 64 – x2 = (8)2 – x2
Now, apply the formula a2 – b2 = (a + b) (a – b) to factorize expression = (8 + x) (8 – x).
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