Which is the expansion of ((x+3)(x+2))?
Answer and explanation
Correct answer: \(x^2+5x+6\)
Using the distributive property, \((x+3)(x+2)=x\cdot x+x\cdot2+3\cdot x+3\cdot2=x^2+2x+3x+6=x^2+5x+6\). Therefore, option C is correct. In option D, the like terms \(2x\) and \(3x\) have not been combined to get \(5x\). Exam tip: while multiplying two binomials, write all four products first and then combine like terms.
Frequently asked questions
What is the correct answer to this question?
\(x^2+5x+6\)
Why is this the correct answer?
Using the distributive property, \((x+3)(x+2)=x\cdot x+x\cdot2+3\cdot x+3\cdot2=x^2+2x+3x+6=x^2+5x+6\). Therefore, option C is correct. In option D, the like terms \(2x\) and \(3x\) have not been combined to get \(5x\). Exam tip: while multiplying two binomials, write all four products first and 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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