Which expression is formed after simplifying (10q^2-4q+q^2+6q)?
Answer and explanation
Correct answer: 11q^2+2q
Only like terms can be added or subtracted. Here, 10q^2 and q^2 are like terms, so 10q^2+q^2=11q^2. Similarly, -4q+6q=2q. Therefore, the simplified expression is 11q^2+2q. In 9q^2+2q, the coefficients of the q^2 terms have been combined incorrectly. Exam tip: Group terms according to the power of the variable before simplifying.
Frequently asked questions
What is the correct answer to this question?
11q^2+2q
Why is this the correct answer?
Only like terms can be added or subtracted. Here, 10q^2 and q^2 are like terms, so 10q^2+q^2=11q^2. Similarly, -4q+6q=2q. Therefore, the simplified expression is 11q^2+2q. In 9q^2+2q, the coefficients of the q^2 terms have been combined incorrectly. Exam tip: Group terms according to the power of the variable before simplifying.
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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