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What is the simplified form of (2x^2-3x+5x^2-x)?

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Answer and explanation

Correct answer: \(7x^2-4x\)

Here, \(2x^2\) and \(5x^2\) are like terms, so their sum is \(7x^2\). Similarly, \(-3x\) and \(-x\) add to \(-4x\). Therefore, the simplified form is \(7x^2-4x\). In option C, the \(x^2\) terms have been added incorrectly. Exam tip: add or subtract only terms with the same variable and the same exponent.

Related tags

PolynomialsAlgebraic ExpressionsLike TermsSimplifying ExpressionsGrade 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

\(7x^2-4x\)

Why is this the correct answer?

Here, \(2x^2\) and \(5x^2\) are like terms, so their sum is \(7x^2\). Similarly, \(-3x\) and \(-x\) add to \(-4x\). Therefore, the simplified form is \(7x^2-4x\). In option C, the \(x^2\) terms have been added incorrectly. Exam tip: add or subtract only terms with the same variable and the same exponent.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Algebraic expressions.

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