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SubjectsMathematics
बीजीय व्यंजकों का विस्तार
Expansion in Class 9 Mathematics explains how to open brackets and rewrite algebraic expressions in simplified form. Students learn to use the distributive property, combine like terms, and apply familiar algebraic identities when multiplying terms or expressions. The topic also helps them recognise common errors, maintain correct signs, and check whether two expanded forms are equivalent. It addresses common questions about the steps, notation, and reasoning used in algebraic expansion.
TOPIC PRACTICE
Up to 2 questions from this page. Select your focus, then start.
In \(5m-7\), there is no bracket, power of a binomial, or outside factor left to distribute, so it is already in expanded form. The expressions \(3(x+2)\) and \(x(y+4)\) can be expanded using the distributive property, while \((a+b)^2\) can also be expanded. Exam tip: An expanded expression is usually written as separate terms with no brackets left to multiply out.
Using the distributive property, multiply 3 by each term inside the bracket: 3 × a + 3 × (−2) = 3a − 6. Therefore, option A is correct. In option B, 3 has not been multiplied by −2, while option D incorrectly changes the negative sign to a positive sign. Exam tip: when expanding a bracket, multiply the outside factor by every term inside it.
QUIZ COMPLETE
