Class 8 Maths - ODISHA
We Distribute Yet Things Multiply
The chapter 'We Distribute Yet Things Multiply' in Class 8 Mathematics for Odisha BSE board focuses on the fascinating concepts of algebraic expressions, specifically multiplication of algebraic expressions using distributive laws. Students learn how to multiply monomials by monomials, binomials by binomials, and apply standard algebraic identities to simplify complex calculations. This chapter lays a strong foundation for higher algebra in secondary school and is crucial for scoring high marks in board examinations, as simplifying expressions and applying identities frequently appear in both short and long answer questions.
Start Learning FreeKey Concepts
Multiplication of Monomials
To multiply two monomials, multiply their numerical coefficients together and then multiply their variables by adding their exponents using laws of indices.
Distributive Property
The property states that a(b + c) = ab + ac, which is used extensively to multiply a monomial by a binomial or polynomial.
Multiplication of Binomials
Every term in the first binomial must be multiplied by every term in the second binomial, often remembered using the FOIL method (First, Outer, Inner, Last).
Standard Algebraic Identities
Standard formulas like (a+b)^2, (a-b)^2, and (a+b)(a-b) are used to quickly expand and evaluate algebraic expressions without lengthy multiplication.
Simplification of Expressions
Combining like terms after multiplication to reduce a long algebraic expression into its simplest form.
Important Formulas
Board Exam Info
In the Odisha (BSE) Class 8 Mathematics examinations, this chapter typically carries around 6 to 8 marks. Common question types include expanding products of binomials, applying standard algebraic identities to find the value of numbers, and simplifying complex algebraic expressions.
Frequently Asked Questions
How do I multiply two binomials easily?
Use the distributive property by taking each term of the first binomial and multiplying it separately by the entire second binomial, then combine any like terms.
Why do we add exponents when multiplying variables?
According to the laws of exponents (indices), when multiplying exponential terms with the same base, such as x^a * x^b, you keep the base and add the powers to get x^(a+b).
When should I use algebraic identities instead of normal multiplication?
You should use identities whenever the expression matches standard forms like (a+b)^2 or (a+b)(a-b) because they save time and reduce calculation errors in exams.
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