Question

2. Simplify the following and verify the results for the given values.
(m^2 - 10 m + 25) (m - 5); m = -2​

Answer 1

Answer: m^3 - 15m^2 + 75m - 125

Step-by-step explanation:

first multiply everything by (m - 5) with the notable products rule:

m^2m + m^2(-5) + (-10m)m + (-10m)(-5) + 25m + 25(-5)

then apply the rules of signs: +(-a) = -a ; (-a)×(-b) = ab

m^2m - 5m^2 - 10mm + 10×5m+25m-25×5

simplify:

m^3 - 5m^2 - 10m^2 + 50m + 25m - 125

m^3 - 15m^2 + 75m - 125