Question

How can I solve this expression with polynomials?

(m^2+m+1)*(m^2-m-1)*(m-1)-2m(m^2+1)

Answer 1

Answer: m⁴ - 2m³ - m² - 4m - 1

Explanation:

FYI: You cannot "solve" the expression because there is no equality (=) symbol.

Simplify: (m² + m + 1)(m² - m - 1) - 2m(m² + 1)

Multiply the expressions using distributive method:

m²(m² - m - 1) + m(m² - m - 1) + 1(m² - m - 1) -2m(m² + 1)

m⁴ - m³ - m² + m³ - m² - m + (m² - m - 1) -2m³ - 2m

Add like terms:

m⁴ - 2m³ - m² - 4m - 1