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In ( (x+3)^2=x^2+6x+9 ), where did (9) come from?

Answer and explanation

Correct answer: \(3^2\)

In the identity \((a+b)^2=a^2+2ab+b^2\), the last term is \(b^2\). Here, \(a=x\) and \(b=3\), so the last term is \(3^2=9\). The term \(2\cdot x\cdot3=6x\) gives the middle term, not 9. Exam tip: in a square identity, the square of the second term gives the last term.

Related tags

Algebraic IdentitiesSquare Of A BinomialExpansionClass 9 MathematicsExploring Algebraic IdentitiesMathematicsClass 9 Mcq

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