What is the factorised form of (ax+ay+bx+by)?
Answer and explanation
Correct answer: \((a+b)(x+y)\)
Group the terms: \(ax+ay+bx+by=a(x+y)+b(x+y)\). The binomial \((x+y)\) is common, so taking it out gives \((a+b)(x+y)\). Expanding option B gives \(ab+ay+bx+xy\), which is not the given expression. Exam tip: expand the factorised form once to verify that it reproduces the original expression.
Frequently asked questions
What is the correct answer to this question?
\((a+b)(x+y)\)
Why is this the correct answer?
Group the terms: \(ax+ay+bx+by=a(x+y)+b(x+y)\). The binomial \((x+y)\) is common, so taking it out gives \((a+b)(x+y)\). Expanding option B gives \(ab+ay+bx+xy\), which is not the given expression. Exam tip: expand the factorised form once to verify that it reproduces 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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