The Value Of (a + B)2 – (a – B)2 Is ______.
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Question
The value of (a + b)2 – (a – b)2 is ______.
Options
4ab
– 4ab
2a2 + 2b2
2a2 – 2b2
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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]APPEARS IN
NCERT Exemplar Mathematics [English] Class 8Chapter 7 Algebraic Expression, Identities and FactorisationExercise | Q 33. | Page 227RELATED QUESTIONS
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