Question

Combine the like terms to simplify the expression:

9 + 3 + 17xy^2 + 8y^3 + 10x –13xy^2 – 9x – 6y^3

Answer 1

`9 + 3 + 17xy^(2) + 8y^(3) + 10x - 13xy^(2) - 9x - 6y^(3)`

1) First, we have to start simplifying the algebraic symbols.

2) We have to separate those from the normal numbers.

3) There will be different types of algebraic symbols : group the similar ones and start simplifying.


`-\ \textgreater \`
`17xy^(2) - 13xy^(2) + 8y^(3) - 6y^(3) + 10x - 9x + 9 + 3`

=>
`4xy^(2) + 2y^(3) + 1x + 12`

Answer 2

the llike terms are {17xy^2, -13xy^2} {9, 3} {8y^3, -6y^3} {10x, -9x} first combine 9 and 3 now your new equation is 12 + 17xy^2 + 8y^3 + 10x –13xy^2 – 9x – 6y^3 then add 17xy^2 and -13xy^2 your new equation is 12 + 4xy^2 + 8y^3 + 10x – 9x – 6y^3 now combine 8y^3 and 6y^3 your new equation is 12 + 4xy^2 + 2y^3 + 10x – 9x now combine 10 and -9x and your answer is 12 + 4xy^2 + 2y^3 + x