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If (x=1) and (y=3), what is the value of (3(x+y)^2-4xy)?

Answer and explanation

Correct answer: 36

Given x=1 and y=3, we get x+y=4. Therefore, 3(x+y)^2=3×4^2=3×16=48, and 4xy=4×1×3=12. Hence, the value is 48−12=36. A value such as 38 can result from an error while squaring or multiplying. Exam tip: after substitution, evaluate brackets first, then powers, multiplication, and subtraction.

Related tags

Algebraic ExpressionsSubstitutionOrder Of OperationsPolynomialsClass 9 MathematicsIntroduction To PolynomialsMathematicsClass 9 Mcq

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