The Value Of (a + B)2 – (a – B)2 Is ______.

English0CBSESecondary School (English Medium) (5 to 8) Class 8Question PapersQuestion PapersTextbook Solutions11100MCQ Online Mock TestsImportant SolutionsConcept Notes & Videos238Time TablesSyllabusThe value of (a + b)2 – (a – b)2 is ______. - Mathematics

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Question

The value of (a + b)2 – (a – b)2 is ______.

Options

• 4ab

• – 4ab

• 2a2 + 2b2

• 2a2 – 2b2

MCQFill in the Blanks

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SolutionShow Solution

The value of (a + b)2 – (a – b)2 is 4ab.

Explanation:

We have,

(a + b)2 – (a – b)2 = a2 + b2 + 2ab – (a2 + b2 – 2ab) ...[∵ (a + b)2 = a2 + b2 + 2ab and (a – b)2 = a2 + b2 – 2ab]

= a2 + b2 + 2ab – a2 – b2 + 2ab

= a2 – a2 + b2 – b2 + 2ab + 2ab

= 2ab + 2ab ...[Combining the like terms]

= 4ab

shaalaa.comTerms, Factors and Coefficients of Expression Report Error Is there an error in this question or solution?Q 33.Q 32.Q 34.Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 227]

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NCERT Exemplar Mathematics [English] Class 8Chapter 7 Algebraic Expression, Identities and FactorisationExercise | Q 33. | Page 227

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