Which of the following is the algebraic identity for the square of a sum of three terms?
Answer and explanation
Correct answer: \((a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca\)
The correct identity is \((a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca\). On squaring, every distinct pair occurs twice. Option A misses the factor 2. Exam tip: check all three pairs: ab, bc, and ca.
Frequently asked questions
What is the correct answer to this question?
\((a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca\)
Why is this the correct answer?
The correct identity is \((a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca\). On squaring, every distinct pair occurs twice. Option A misses the factor 2. Exam tip: check all three pairs: ab, bc, and ca.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
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