Class 9 · Mathematics · Ganita Manjari

4. Exploring Algebraic Identities

Try question 1

(a + b)² equals

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Answer and explanation

Answer: B. a² + 2ab + b²

(a + b)(a + b) = a² + ab + ab + b².

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Try question 2

(x + 3)(x + 5) equals

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Answer and explanation

Answer: A. x² + 8x + 15

(x + a)(x + b) = x² + (a + b)x + ab = x² + 8x + 15.

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Try question 3

a² − b² can be factorised as

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Answer and explanation

Answer: C. (a − b)(a + b)

This is the difference-of-squares identity.

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