Factorise (xy+2x+3y+6).
Answer and explanation
Correct answer: \((x+3)(y+2)\)
Group the terms: \(xy+2x+3y+6=x(y+2)+3(y+2)\). The common binomial is \((y+2)\), so the factorised form is \((y+2)(x+3)=(x+3)(y+2)\). Expanding option B gives \(xy+3x+2y+6\), so its middle terms do not match the original expression. Exam tip: expand the chosen factors once to verify the original expression.
Frequently asked questions
What is the correct answer to this question?
\((x+3)(y+2)\)
Why is this the correct answer?
Group the terms: \(xy+2x+3y+6=x(y+2)+3(y+2)\). The common binomial is \((y+2)\), so the factorised form is \((y+2)(x+3)=(x+3)(y+2)\). Expanding option B gives \(xy+3x+2y+6\), so its middle terms do not match the original expression. Exam tip: expand the chosen factors once to verify the original expression.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Factorisation.
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