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Expand (2X + 5Y)^(5) |
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Answer» Solution :By using BINOMIAL theorem, We have `(2X + 5Y)^(5)` = `.^(5)C_(0)(2X)^(5)(5Y)^(0)+^(5)C_(1)(2x)^(4)(5Y)+^(5)C_(2)(2X)^(3)(5y)^(2)+^(5)C_(3)(2x)^(2)(5Y)^(3)+^(5)c_(4)(2X)(5Y)^(4)+^(5)C_(5)(2X)^(0)(5Y)^(5)` = `32X^(5)+5.16X^(4).5Y+10.8X^(3).25Y^(2)+10.4X^(2) 125Y^(3) + 5.2X.625Y^(4)+3125Y^(5) ` `32X^(5)+400X^(4)Y+2000X^(3)Y^(2)+5000X^(2)Y^(3)+6250XY^(4)+3125Y^(5)` |
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