NCERT Solutions for Class 8 Maths Chapter 9 (EX 9.3)
FAQs on NCERT Solutions for Class 8 Maths Chapter 9: Algebraic Expressions and Identities - Exercise 9.3
1. What are the properties of polynomial multiplication?
It's a little more difficult to multiply polynomials than it is to add and subtract them. To multiply each term in the first polynomial by each term in the second polynomial, we must apply the distributive property. Then we mix words that are similar. When multiplying binomials, we may also utilise a shortcut known as the FOIL technique.
2. Why are multiplying polynomials important?
The distributive property allows us to multiply each term of the first polynomial by each term of the second when multiplying polynomials. The goods are then combined and like words are combined to streamline the process. Certain particular products have patterns that we may learn and utilise instead of manually multiplying polynomials each time. We'll look at a few different methods for multiplying polynomials.
3. What are algebraic identities?
Algebraic identities are algebraic equations that are true for all possible values of the variables in them. In the factorization of polynomials, algebraic identities are useful. On both sides of the equation, there are variables and constants. The left side of the equation equals the right side of the equation in an algebraic identity. For example, for any values of and b, (a+b)2 = a2+2ab+b2 is true.
4. What is the substitution method?
Substitution is the process of replacing variables or characters with numbers or values. The replacement technique involves performing an arithmetic operation by replacing the values for the variables. For eg: x-2=4, x=2.
5. What are factoring identities?
x2-y2 = | (x+y) (x-y) |
x3-y3 = | (x-y) (x2+xy+ y2) |
x3 +y3 = | (x+y) (x2 -xy+ y2) |
x4-y4 = | (x2-y2) (x2 + y2) |