BIG POINTS Simplify (m+5)^2-(m-5)^2

Question

BIG POINTS

Simplify


`(m+5)^2-(m-5)^2`

Answer 1

20m

Explanation:

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

FOIL

(m+5) (m+5)

m^2 +5m+5m+25

m^2 +10m +25

FOIL

(m-5) (m-5)

m^2 -5m-5m+25

m^2 -10m +25

Replace into the original equation

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

Distribute the minus sign

m^2 +10m +25 - m^2 +10m -25

Combine like terms

20m