What is obtained after simplifying (2x^2+3xy-4x^2+5xy)?
Answer and explanation
Correct answer: \(-2x^2+8xy\)
Here, \(2x^2\) and \(-4x^2\) are like terms, so \(2x^2-4x^2=-2x^2\). Similarly, \(3xy\) and \(5xy\) are like terms, giving \(3xy+5xy=8xy\). Therefore, the simplified expression is \(-2x^2+8xy\). The terms \(x^2\) and \(xy\) are not like terms, so they cannot be combined. Exam tip: add or subtract only terms with identical variables and powers.
Frequently asked questions
What is the correct answer to this question?
\(-2x^2+8xy\)
Why is this the correct answer?
Here, \(2x^2\) and \(-4x^2\) are like terms, so \(2x^2-4x^2=-2x^2\). Similarly, \(3xy\) and \(5xy\) are like terms, giving \(3xy+5xy=8xy\). Therefore, the simplified expression is \(-2x^2+8xy\). The terms \(x^2\) and \(xy\) are not like terms, so they cannot be combined. Exam tip: add or subtract only terms with identical variables and powers.
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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