Which option is not equal to (2(x+4))?
Answer and explanation
Correct answer: \(2x+4\)
Using the distributive property, \(2(x+4)=2\cdot x+2\cdot4=2x+8\). Therefore, \(2x+8\) and \(2\cdot x+2\cdot4\) are equal to the given expression. Also, by the commutative property of addition, \(8+2x=2x+8\). However, in \(2x+4\), the constant 4 has not been multiplied by 2, so it is not equal to the given expression. Exam tip: When expanding brackets, multiply the outside factor by every term inside the bracket.
Frequently asked questions
What is the correct answer to this question?
\(2x+4\)
Why is this the correct answer?
Using the distributive property, \(2(x+4)=2\cdot x+2\cdot4=2x+8\). Therefore, \(2x+8\) and \(2\cdot x+2\cdot4\) are equal to the given expression. Also, by the commutative property of addition, \(8+2x=2x+8\). However, in \(2x+4\), the constant 4 has not been multiplied by 2, so it is not equal to the given expression. Exam tip: When expanding brackets, multiply the outside factor by every term inside the bracket.
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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