8𝑥^3 −1/27𝑦^3
8𝑥^3 −1/27𝑦^3
According to the equation,
𝑎^3 − 𝑏^3 = (𝑎 − 𝑏)(𝑎^2 + 𝑎𝑏 + 𝑏^2)
So we get,
8𝑥^3 −1/27𝑦^3
= (2𝑥)^3 − (1/3𝑦)^3
Based on the formula,
= (2𝑥 −1/3𝑦)((2𝑥)^2 + (2𝑥)(1/3𝑦) + (1/3𝑦)^2)
= (2𝑥 −1/3𝑦)(4𝑥^2 +2𝑥/3𝑦+1/9𝑦^2)
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