Question

Which of the following are the factors of a2 + ab +bc + ca 
i) (b + c) (c + a)
ii) (a + b) (a + c)
iii) a(a + b + c)
iiii) (a + b) (b + c)​

Answer 1

Answer:

( ii ) ( a + b ) ( a + c )

Step-by-step explanation:

a² + ab +bc + ca

= a ( a + b ) + c ( b + a )

= a ( a + b ) + c ( a + b )

= ( a + b ) ( a + c )

Therefore, the factors of a2 + ab +bc + ca are ( a + b ) ( a + c ).

Answer 2

ii) (a + b) (a + c)

Step-by-step explanation:

= a² + ab + bc + ca

= a² + ac + bc + ab

= a(a + c) + b(a + c)

= (a + b) + (a + c)