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If (x=2) and (y=-1), what is the value of (x^2+xy+y^2)?
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Answer and explanation
Correct answer: 3
Given x=2 and y=-1, x^2+xy+y^2=2^2+(2)(-1)+(-1)^2=4-2+1=3. Therefore, the correct answer is 3. The value 1 is only y^2; the terms x^2 and xy must also be included. Exam tip: the square of a negative number is positive, so (-1)^2=1.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Given x=2 and y=-1, x^2+xy+y^2=2^2+(2)(-1)+(-1)^2=4-2+1=3. Therefore, the correct answer is 3. The value 1 is only y^2; the terms x^2 and xy must also be included. Exam tip: the square of a negative number is positive, so (-1)^2=1.
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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