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If (u=-2) and (v=1), what is the value of (u^2-uv)?

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Answer and explanation

Correct answer: 6

Substituting the given values, \(u^2-uv=(-2)^2-(-2)(1)=4-(-2)=4+2=6\). Hence, the correct answer is 6. The value 4 represents only \(u^2\); subtracting \(uv=-2\) gives 6. In exams, remember that subtracting a negative quantity changes it to addition.

Related tags

Algebraic ExpressionsSubstitutionIntegersSign RulesPolynomials

Frequently asked questions

What is the correct answer to this question?

6

Why is this the correct answer?

Substituting the given values, \(u^2-uv=(-2)^2-(-2)(1)=4-(-2)=4+2=6\). Hence, the correct answer is 6. The value 4 represents only \(u^2\); subtracting \(uv=-2\) gives 6. In exams, remember that subtracting a negative quantity changes it to addition.

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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