How will (x+x^2+2x) be written after combining like terms?
Answer and explanation
Correct answer: \(x^2+3x\)
\(x\) and \(2x\) are like terms because both have \(x\) raised to the power 1. Adding their coefficients gives \(x+2x=3x\). The term \(x^2\) is not like \(x\), so it remains separate. Therefore, the expression becomes \(x^2+3x\). Exam tip: combine terms only when both the variable and its exponent are the same.
Frequently asked questions
What is the correct answer to this question?
\(x^2+3x\)
Why is this the correct answer?
\(x\) and \(2x\) are like terms because both have \(x\) raised to the power 1. Adding their coefficients gives \(x+2x=3x\). The term \(x^2\) is not like \(x\), so it remains separate. Therefore, the expression becomes \(x^2+3x\). Exam tip: combine terms only when both the variable and its exponent are the same.
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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