Question

(5m^3mn^2)+(-7m^2n+n+mn^2-n^3)-(mn^2+2m^3)

Answer 1

Use the Product Rule: x^a x^b = x^a + b

5m^3 + 1 n^2 - 7m^2n + n + mn^2 - n^3 - (mn^2 + 2m^3)

Simplify 3 + 1 to 4

5m^4 n^2 - 7m^2n + n + mn^2 - n^3 (mn^2 + 2m^3)

Simplify brackets

5m^4 n^2 - 7m^2n + n + mn^2 - n^3 - mn^2 - 2m^3

Collect like terms

5m^4 n^2 - 7m^2n + n + n + (mn^2 - mn^2) - n^3 - 2m^3

Simplify

5m^4n^2 - 7m^2n + n - n^3 - 2m^3