Which is the expansion of ((2x+3)(x-2))?
Answer and explanation
Correct answer: \(2x^2-x-6\)
Using the distributive property, \((2x+3)(x-2)=2x\cdot x+2x\cdot(-2)+3\cdot x+3\cdot(-2)\). Thus, \(2x^2-4x+3x-6=2x^2-x-6\). Therefore, option D is correct. In option C, the constant term is incorrectly written as \(+6\) instead of \(-6\). Exam tip: multiply each term of one binomial by both terms of the other, then combine like terms.
Frequently asked questions
What is the correct answer to this question?
\(2x^2-x-6\)
Why is this the correct answer?
Using the distributive property, \((2x+3)(x-2)=2x\cdot x+2x\cdot(-2)+3\cdot x+3\cdot(-2)\). Thus, \(2x^2-4x+3x-6=2x^2-x-6\). Therefore, option D is correct. In option C, the constant term is incorrectly written as \(+6\) instead of \(-6\). Exam tip: multiply each term of one binomial by both terms of the other, then combine like terms.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Quadratic expressions.
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