Request a call back

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

CBSE Class 11-science Answered

Prove:
 
Ax(BUC)=(AxB)U(AxC)
Asked by Sthitaprajna Mishra | 22 Jun, 2015, 11:14: PM
answered-by-expert Expert Answer
L e t space u s space c o n s i d e r space a n space e x a m p l e colon L e t space A equals open curly brackets 1 comma 2 comma 3 close curly brackets comma space B equals open curly brackets a comma b comma c comma d close curly brackets comma space C equals open curly brackets x comma y close curly brackets B union C equals open curly brackets a comma b comma c comma d comma x comma y close curly brackets A cross times open parentheses B union C close parentheses equals open curly brackets open parentheses 1 comma a close parentheses comma open parentheses 1 comma b close parentheses comma open parentheses 1 comma c close parentheses comma open parentheses 1 comma d close parentheses comma open parentheses 1 comma x close parentheses comma open parentheses 1 comma y close parentheses comma open parentheses 2 comma a close parentheses comma open parentheses 2 comma b close parentheses comma open parentheses 2 comma c close parentheses comma open parentheses 2 comma d close parentheses comma open parentheses 2 comma x close parentheses comma open parentheses 2 comma y close parentheses comma open parentheses 3 comma a close parentheses comma open parentheses 3 comma b close parentheses comma open parentheses 3 comma c close parentheses comma open parentheses 3 comma d close parentheses comma open parentheses 3 comma x close parentheses comma open parentheses 3 comma y close parentheses close curly brackets... left parenthesis 1 right parenthesis  A n d space A cross times B equals open curly brackets open parentheses 1 comma a close parentheses comma open parentheses 1 comma b close parentheses comma open parentheses 1 comma c close parentheses comma open parentheses 1 comma d close parentheses comma open parentheses 2 comma a close parentheses comma open parentheses 2 comma b close parentheses comma open parentheses 2 comma c close parentheses comma open parentheses 2 comma d close parentheses comma open parentheses 3 comma a close parentheses comma open parentheses 3 comma b close parentheses comma open parentheses 3 comma c close parentheses comma open parentheses 3 comma d close parentheses close curly brackets S i m i l a r l y space A cross times C equals open curly brackets open parentheses 1 comma x close parentheses comma open parentheses 1 comma y close parentheses comma open parentheses 2 comma x close parentheses comma open parentheses 2 comma y close parentheses comma open parentheses 3 comma x close parentheses comma open parentheses 3 comma y close parentheses close curly brackets T h u s comma space open parentheses A cross times B close parentheses union open parentheses A cross times C close parentheses equals open curly brackets open parentheses 1 comma a close parentheses comma open parentheses 1 comma b close parentheses comma open parentheses 1 comma c close parentheses comma open parentheses 1 comma d close parentheses comma open parentheses 2 comma a close parentheses comma open parentheses 2 comma b close parentheses comma open parentheses 2 comma c close parentheses comma open parentheses 2 comma d close parentheses comma open parentheses 3 comma a close parentheses comma open parentheses 3 comma b close parentheses comma open parentheses 3 comma c close parentheses comma open parentheses 3 comma d close parentheses comma open parentheses 1 comma x close parentheses comma open parentheses 1 comma y close parentheses comma open parentheses 2 comma x close parentheses comma open parentheses 2 comma y close parentheses comma open parentheses 3 comma x close parentheses comma open parentheses 3 comma y close parentheses close curly brackets... left parenthesis 2 right parenthesis F r o m space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis comma space i t space i s space c l e a r space t h a t comma space A cross times open parentheses B union C close parentheses equals open parentheses A cross times B close parentheses union open parentheses A cross times C close parentheses
Answered by Vimala Ramamurthy | 23 Jun, 2015, 11:14: AM
CBSE 11-science - Maths
Asked by divyanshtikkiwal6 | 23 Feb, 2024, 07:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by pranavsrinivas82 | 10 Jan, 2024, 08:45: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by arjunsah797 | 03 Mar, 2022, 06:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by vinodbhaskar375 | 30 Sep, 2021, 07:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by prash.crush92 | 28 Dec, 2020, 12:21: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by seeni2005 | 19 Aug, 2020, 09:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by nkrkannan1810 | 12 Jul, 2020, 12:26: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by preetiagrawal1979 | 28 Jun, 2020, 02:31: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by hankareanushka | 17 Jun, 2020, 06:23: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×