Expressions and Simplifying

Chapter summary, hard words and model exam answers for ICSE Class 10 Hindi.

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Mathematics · CBSE 10 · ICSE 10 · GCSE (AQA, Edexcel, OCR)

In 4x + 7y − 3 the terms are 4x, 7y and −3. The number in front (the coefficient) is 4 and 7; −3 has no letter so it is a constant.

5x and −3x are like (both just x), so 5x − 3x = 2x. But 3x and 3x² are unlike - the powers differ - so they stay apart.

Think 5 apples + 3 apples = 8 apples, so 5x + 3x = 8x. Group each kind, combine, and write the result.

a(b + c) = ab + ac. Watch signs: −4(3x − 7) = −12x + 28. Expand first, then collect like terms - never both at once.

expression	terms joined by operations with no equals sign, e.g. 4x + 7y − 3
term	a single number, variable, or product of them within an expression
coefficient	the number multiplying a variable in a term; in 7x it is 7
variable	a letter standing for an unknown or changing quantity, e.g. x
constant	a term with no variable whose value never changes, e.g. −3
like terms	terms with identical variable parts that can be combined
distributive law	a(b + c) = ab + ac; multiply every inside term by the outside one
simplify	rewrite an expression in its shortest equivalent form

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