What is obtained after simplifying (x^2-2x+4-x^2+5x)?
Answer and explanation
Correct answer: \(3x+4\)
Combining like terms gives \(x^2-x^2=0\) and \(-2x+5x=3x\). The constant term \(4\) remains unchanged, so the simplified expression is \(3x+4\). Option \(7x+4\) is incorrect because \(-2x+5x=3x\), not \(7x\). Exam tip: add or subtract only terms with the same variable and exponent.
Frequently asked questions
What is the correct answer to this question?
\(3x+4\)
Why is this the correct answer?
Combining like terms gives \(x^2-x^2=0\) and \(-2x+5x=3x\). The constant term \(4\) remains unchanged, so the simplified expression is \(3x+4\). Option \(7x+4\) is incorrect because \(-2x+5x=3x\), not \(7x\). Exam tip: add or subtract only terms with the same variable and 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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