How can I solve this expression with polynomials? (m^2+m+1)(m^2-m-1)(m-1)-2m(m^2+1)

Question

asked Jan 22, 2020 209k views

1 Answer

Demisx · Answer 1 · 2020-01-28T17:42:02+0000

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