Question

(3x^3-4x^2+x-7)+(x^4-2x^3+3x^2+5)

Answer 1

(x-1) x (x+2) x (
`x^(2)` + 1)

Explanation:

first remove the parenthesis

collect the like terms and calculate

reorder the terms

write as a sum

factor the expressions

factor the expressions

factor the expressions

and you get (x-1) x (x+2) x (
`x^(2)` + 1)

Answer 2

x^3-x^2+x-2+x^4

Explanation:

Remove parenthesis.

3x^3-4x^2+x-7+x^4-2x^3+3x^2+5

Collect like terms.

(3x^3-2x^3)+(-4x^2+3x^2)+x+(-7+5)+x^4

Simplify.

x^3-x^2+x-2+x^4