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After simplifying (7x^2y+3xy^2-9x^2y+5xy^2), what will be the coefficient of (x^2y)?

Answer and explanation

Correct answer: -2

Only like terms can be added or subtracted. The terms containing x^2y are 7x^2y and -9x^2y, so their sum is (7-9)x^2y=-2x^2y. Therefore, the coefficient of x^2y is -2. The terms 3xy^2 and 5xy^2 are not like x^2y; they add to 8xy^2 instead. Exam tip: like terms must have the same variables raised to the same powers.

Related tags

Algebraic ExpressionsPolynomialsLike TermsCoefficientSimplificationIntroduction To PolynomialsMathematicsClass 9 Mcq

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