What is the expansion of \( (2x+3)(x-2) \)?
Answer and explanation
Correct answer: \(2x^2-x-6\)
Using the distributive property, multiply both \(2x\) and \(3\) by each term in \(x-2\): \((2x+3)(x-2)=2x^2-4x+3x-6\). Combining like terms, \(-4x+3x=-x\), gives \(2x^2-x-6\). Hence, option A is correct. Option B has an incorrect positive sign for the middle term. Exam tip: write all four products before combining 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, multiply both \(2x\) and \(3\) by each term in \(x-2\): \((2x+3)(x-2)=2x^2-4x+3x-6\). Combining like terms, \(-4x+3x=-x\), gives \(2x^2-x-6\). Hence, option A is correct. Option B has an incorrect positive sign for the middle term. Exam tip: write all four products before combining like terms.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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