Factorize: a 2 + b 2 - 2(ab - ac + bc)
Answers
Answered by
4
a 2 + b 2 – 2(ab – ac +bc )
= a 2 + b 2 – 2ab + 2ac –2bc
= (a – b)2 + 2c (a – b)
= (a – b)[ (a – b) + 2c ]
= (a – b) (a – b + 2c )
Thus, a 2 + b 2 – 2(ab – ac + bc ) = (a – b) (a –b + 2c )
= a 2 + b 2 – 2ab + 2ac –2bc
= (a – b)2 + 2c (a – b)
= (a – b)[ (a – b) + 2c ]
= (a – b) (a – b + 2c )
Thus, a 2 + b 2 – 2(ab – ac + bc ) = (a – b) (a –b + 2c )
Similar questions