What is obtained after simplifying (10z^2+z-4z^2-6z+3)?
Answer and explanation
Correct answer: \(6z^2-5z+3\)
Combine like terms: \(10z^2-4z^2=6z^2\) and \(z-6z=-5z\). There is no other constant term to combine with \(3\), so it remains \(3\). Therefore, the simplified expression is \(6z^2-5z+3\). Option B incorrectly adds the \(z^2\) terms. Exam tip: add or subtract only terms having the same variable and exponent.
Frequently asked questions
What is the correct answer to this question?
\(6z^2-5z+3\)
Why is this the correct answer?
Combine like terms: \(10z^2-4z^2=6z^2\) and \(z-6z=-5z\). There is no other constant term to combine with \(3\), so it remains \(3\). Therefore, the simplified expression is \(6z^2-5z+3\). Option B incorrectly adds the \(z^2\) terms. Exam tip: add or subtract only terms having 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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