What is the simplified form of (8x^2-7xy+4xy-5x^2)?
Answer and explanation
Correct answer: \(3x^2-3xy\)
Combining like terms gives \(8x^2-5x^2=3x^2\) and \(-7xy+4xy=-3xy\). Therefore, the simplified expression is \(3x^2-3xy\). The terms \(x^2\) and \(xy\) are not like terms because their variable parts differ, so they cannot be combined. Exam tip: Add or subtract coefficients only when both the variables and their powers are exactly the same.
Frequently asked questions
What is the correct answer to this question?
\(3x^2-3xy\)
Why is this the correct answer?
Combining like terms gives \(8x^2-5x^2=3x^2\) and \(-7xy+4xy=-3xy\). Therefore, the simplified expression is \(3x^2-3xy\). The terms \(x^2\) and \(xy\) are not like terms because their variable parts differ, so they cannot be combined. Exam tip: Add or subtract coefficients only when both the variables and their powers are exactly 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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