(𝑎 + 𝑏)^3 − (𝑎 − 𝑏)^3
(𝑎 + 𝑏)^3 − (𝑎 − 𝑏)^3
According to the equation,
𝑎^3 − 𝑏^3 = (𝑎 − 𝑏)(𝑎^2 + 𝑎𝑏 + 𝑏^2)
So we get,
(𝑎 + 𝑏)^3 − (𝑎 − 𝑏)^3
= (𝑎 + 𝑏 − (𝑎 − 𝑏))((𝑎 + 𝑏)^2 + (𝑎 + 𝑏)(𝑎 − 𝑏) + (𝑎 − 𝑏)^2)
On further simplification
= (𝑎 + 𝑏 − 𝑎 + 𝑏)(𝑎^2 + 𝑏^2 + 2𝑎𝑏 + 𝑎^2 − 𝑏^2 + 𝑎^2 + 𝑏^2 − 2𝑎𝑏)
= 2𝑏(3𝑎^2 + 𝑏^2)
Lido
Courses
Quick Links
Terms & Policies
Terms & Policies