Fill in the blanks:
`2abc^2+3ab^2c-4ab+3bc-2ca-2=2abc^2+3bc-2ca-2-` _________

Fill in the blanks: 4abc+2a^2bc-3b^2c-c^2+5=abc-c^2+5- _______

Resolve into linear factors a^2+b^2+c^2-ab-bc-ca

From the sum of 4abc+3ab-bc+4 and 3abc-ab+2bc-2 subtract 2abc+ab-3bc+8

Factorise : a^2 - ab - ca + bc

Prove that: |[bc-a^2,ca-b^2,ab-c^2],[ca-b^2,ab-c^2,bc-a^2],[ab-c^2,bc-a^2,ca-b^2]| is divisible by a+b+c and find the quotient.

Add the algebraic expressions. 3ab+6bc-4ca and 2ab-2bc+3ca

Prove that: |[bc-a^2, ca-b^2,ab-c^2],[ca-b^2,ab-c^2,bc-a^2],[ab-c^2,bc-a^2,ca-b^2]| is divisible by a+b+c and find the quotient.

Identify like terms in the following: abc, ab^(2)c, acb^(2), c^(2)ab, b^(2)ac, a^(2)bc, cab^(2)

Add the following expressions: 2ab+3bc-5ca, 4bc-3ab+7ca, 2ca-ab-5bc

Subtract : ab-bc-ca from 3ab +2bc-4ca