Class 8 Maths - HARYANA
We Distribute Yet Things Multiply
The chapter 'We Distribute Yet Things Multiply' in Class 8 Mathematics for Haryana (BSEH) students introduces the fascinating world of algebraic identities and the multiplication of algebraic expressions. Building upon basic algebra, this chapter teaches you how to multiply monomials, binomials, and polynomials using the distributive property, which states that multiplying a sum by a number gives the same result as multiplying each addend separately and then adding the products. Mastering this chapter is crucial for board exam preparation as it forms the foundational building block for solving advanced linear equations, factorisation, and quadratic problems in higher classes.
Start Learning FreeKey Concepts
Multiplication of Monomials
To multiply two monomials, multiply their numerical coefficients together and then multiply their variable parts using the laws of exponents.
Distributive Property
The property states that a(b + c) = ab + ac, allowing us to distribute a single term across terms inside a bracket for multiplication.
Multiplying Binomials
To multiply two binomials (like a + b and c + d), every term in the first binomial must be multiplied by every term in the second binomial using the FOIL method.
Algebraic Identities
Standard algebraic identities like (a + b)² = a² + 2ab + b² provide shortcut formulas to expand expressions without manual multiplication.
Important Formulas
Board Exam Info
This chapter typically carries around 4 to 6 marks in the Haryana (BSEH) Class 8 annual mathematics examination. Common question types include simplifying algebraic expressions, expanding binomials using the distributive property, and applying standard algebraic identities to find the value of numbers or evaluate complex products.
Frequently Asked Questions
Why is the chapter called 'We Distribute Yet Things Multiply'?
It refers to the distributive property in algebra, where distributing a term across a bracket actually results in multiplying terms and expanding the expression.
Do I have to memorize all the algebraic identities?
Yes, memorizing standard identities like (a+b)² and (a-b)² saves a lot of time during exams and helps solve expansion and factorisation problems quickly.
How do I multiply two binomials correctly?
Use the FOIL method (First, Outer, Inner, Last) or the distributive property to ensure every term in the first bracket multiplies every term in the second bracket.
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