Q. Evaluate (99)4 with binomial
expansion 2
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1
Answer:
99⁴ = 9,60,59,601
Step-by-step explanation:
(99)⁴
= ((99)²)²
99² = (100 - 1)²
= 100² - 2 * 100 * 1 + 1²
= 10000 - 200 + 1
= 9801
= (9801)²
= (10000 - 199)²
= 10000² - 2 * 10000 * 199 + 199²
= 100000000 - 3980000 + (100 + 99)²
= 100000000 - 3980000 + 100² + 2*100*99 + 99²
= 100000000 - 3980000 + 10000 + 19800 + 9801
= 9,60,59,601
99⁴ = 9,60,59,601
= 9,80,29,801
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