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Write down the expansion of (a+b)^8 using Pascal's triangle. |
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Answer» Solution :The ROW N = 8 in the Pascal's TRIANGLE is 1, 8, 28 , 56, 70, 56, 28, 8, 1. therefore `(a+b)^8` = `a^8+8a^(8-1)b^-1+28a^(8-2)b^2+56a^(8-3b)^3+70a^(8-4)b^5+56a^(8-5)b^5+28a^(8-6)b^6+8a^8-7)+b^8` = `a^8+8a^7b+28a^6b^2+56a^5b^3+70a^4b^4+56a^3b^5+28a^2b^6+8ab^7+b^8` |
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