Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 9 Answered

S h o w space t h a t space space left parenthesis x to the power of a minus b end exponent right parenthesis to the power of a plus b end exponent space. left parenthesis x to the power of b minus c end exponent right parenthesis to the power of b plus c end exponent space. left parenthesis x to the power of c minus a end exponent right parenthesis to the power of c plus a end exponent equals 1
Asked by kishor.kp14 | 21 Jun, 2019, 02:02: PM
answered-by-expert Expert Answer
begin mathsize 16px style open parentheses straight x to the power of straight a space minus straight b end exponent close parentheses to the power of straight a space plus space straight b end exponent. open parentheses straight x to the power of straight b space minus space straight c end exponent close parentheses to the power of straight b space plus space straight c end exponent. space open parentheses straight x to the power of straight c space minus space straight a end exponent close parentheses to the power of straight c space plus space straight a end exponent space equals space 1 straight L. straight H. straight S space equals space straight x to the power of open parentheses straight a space minus space straight b close parentheses open parentheses straight a space plus space straight b close parentheses end exponent. space straight x to the power of left parenthesis straight b space minus space straight c right parenthesis open parentheses straight b space plus space straight c close parentheses end exponent. space straight x to the power of left parenthesis straight c space minus space straight a right parenthesis open parentheses straight c space plus space straight a close parentheses space end exponent space space space.... space since space open parentheses straight x to the power of straight m close parentheses to the power of straight n space equals space straight x to the power of mn space space space space space space space space space space equals space straight x to the power of open parentheses straight a squared space minus space straight b squared close parentheses end exponent. space straight x to the power of open parentheses straight b squared space minus space straight c squared close parentheses end exponent space. straight x to the power of open parentheses straight c squared space minus space straight a squared close parentheses end exponent space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space...... space since space left parenthesis straight m space minus space straight n right parenthesis left parenthesis straight m space plus space straight n right parenthesis space equals space straight m squared space minus space straight n squared space space space space space space space space space space space space space space space space space space space equals straight x to the power of open parentheses straight a squared space minus space straight b squared plus straight b squared space minus space straight c squared space close parentheses end exponent. straight x to the power of open parentheses straight c squared space minus space straight a squared close parentheses end exponent space space space space space space space space space space space space space space space space space space space space space space space space space space space... space since space straight x to the power of straight m cross times straight x to the power of straight n space space equals space straight x space to the power of straight m plus straight n end exponent space space space space space space space space space space equals straight x to the power of open parentheses straight a squared space minus space straight b squared plus straight b squared space minus space straight c squared plus straight c squared space minus space straight a squared space space close parentheses end exponent space space space space space space space space space space equals straight x to the power of 0 space space space space space space space space space space equals space 1 space space space space space space space space space space equals space straight R. straight H. straight S Hence space proved. space space space space space space end style
Answered by Yasmeen Khan | 21 Jun, 2019, 04:30: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
how to solve it
question image
Asked by singhanjali0199 | 12 Apr, 2024, 08:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
2+√3÷2-√3 - 2-√3÷2-√3
Asked by seebasajan1 | 11 Jan, 2024, 06:33: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Simplify 
question image
Asked by Sachinpayasi1432 | 05 May, 2023, 04:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Simplify: (9/16)^3/2×(36/49)^5/2+(343/216)^-5/3
question image
Asked by harisinhapala0 | 11 Jan, 2023, 05:21: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Unit digit of 34³⁴
Asked by asyadav1230 | 24 Dec, 2022, 06:42: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
2÷3
Asked by yc8600021 | 06 Aug, 2021, 03:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
question image
Asked by choudhuryservicestation | 18 Jun, 2021, 08:03: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Find x if4^2x=1/32
Asked by kaushik3199 | 28 May, 2021, 10:36: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
maths
question image
Asked by kaviyasanjay2017 | 30 Apr, 2021, 07:32: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
If 3x = 5y = (75)z , show that z = fraction numerator x y over denominator 2 x plus y end fraction .   
Asked by Trisha Gupta | 25 Feb, 2021, 10:56: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×