Question

(a-b) (a-c) + (a-c) ( a-d ) + (a-b) ( a-d)

Answer 1

Step-by-step explanation:

(a-b) (a-c) + (a-c) (a-d)+ (a-b) (a-d)

= a²-ac-ba+bc+ a²-ad-ac+cd+a²-ad-ab+bd

=3a²-2ac-2ba-2ad+bc+ cd+bd

Answer 2

Step-by-step explanation:

(a-b) (a-c) + ( a- c) ( a -d) + ( a- b) ( a- d)

= a( a-c) -b (a-c) + a(a- d) -c(a - d) +a( a -d) -b ( a- d)

= a×a -a×c -b×a +b×c +a×a -a×d - c×a + c×d + a×a -a×d - b ×a + b×d

= a² -ac -ab + bc + a² - ad - ac + cd + a² - ad- ab +bd

= a² + ಠ+a² -ac -ac -ab - ab + bc - ad -ad + cd + bd

= 3a² - 2ac -2ab - 2ad + bc + cd + bd

= 3a² -2a ( c +b +d) + bc + cd + bd