2𝑎^3 + 16𝑏^3 − 5𝑎 − 10𝑏
2𝑎^3 + 16𝑏^3 − 5𝑎 − 10𝑏
= 2(𝑎^3 + 8𝑏^3) − 5(𝑎 + 2𝑏)
According to the equation,
𝑎^3 + 𝑏^3 = (𝑎 + 𝑏)(𝑎^2 − 𝑎𝑏 + 𝑏^2)
So we get,
2(𝑎^3 + 8𝑏^3) − 5(𝑎 + 2𝑏)
We can write it as,
= 2(𝑎^3 + (2𝑏)^3) − 5(𝑎 + 2𝑏)
= 2(𝑎 + 2𝑏)(𝑎^2 − 𝑎(2𝑏) + (2𝑏)^2) −5(𝑎 + 2𝑏)
= 2(𝑎 + 2𝑏)(𝑎^2 − 2𝑎𝑏 + 4𝑏^2) − 5(𝑎 + 2𝑏)
By taking (𝑎 + 2𝑏)as common,
We get,
= (𝑎 + 2𝑏)(2(𝑎^2 − 2𝑎𝑏 + 4𝑏^2) − 5)
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