Do Patterns 1 and 2 hold only for counting numbers? Do they hold - Figure it out - Page 149

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Question 4 Do Patterns 1 and 2 hold only for counting numbers? Do they hold for negative integers as well? What about fractions? Justify your answer.Pattern 1 was 2 × (a2 + b2) = (a + b)2 + (a – b)2 And, Pattern 2 was a2 – b2 = (a + b) × (a – b) They hold for all real numbers – positive, negative, fractions or decimals Explanation: You can test them with negative integers (like -5) or fractions (like 1/2). The algebraic rules work universally for any number you can think of!

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CA Maninder Singh is a Chartered Accountant with 16+ years of practical experience and 20+ years of teaching experience. At Teachoo, he simplifies Accounts, Tax and GST with step-by-step examples so students can apply concepts confidently in exams and real life.

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