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(3x+4/x)^5 

Please expand using binomial theorem. 

Asked by aaryannagpal2003 13th June 2019, 2:57 PM
Answered by Expert
Answer:
open parentheses 3 x plus 4 over x close parentheses to the power of 5
equals 1 over x to the power of 5 open parentheses 3 x squared plus 4 close parentheses to the power of 5
equals 1 over x to the power of 5 open parentheses C presubscript 0 presuperscript 5 space open parentheses 3 x close parentheses to the power of 5 space plus C presubscript 1 presuperscript 5 space open parentheses 3 x close parentheses to the power of 4 space times 4 space plus C presubscript 2 presuperscript 5 space open parentheses 3 x close parentheses cubed space 4 squared space plus C presubscript 3 presuperscript 5 space open parentheses 3 x close parentheses squared space 4 cubed plus C presubscript 4 presuperscript 5 space open parentheses 3 x close parentheses to the power of 1 space 4 to the power of 4 space plus C presubscript 5 presuperscript 5 space 4 to the power of 5 close parentheses
equals 1 over x to the power of 5 open parentheses 9 x to the power of 5 space plus 1620 x to the power of 4 space plus space 4320 x cubed space plus space 5760 x squared space plus space 3840 x space plus space 1024 close parentheses
Answered by Expert 13th June 2019, 5:59 PM
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