7𝑎^3 + 56𝑏^3
7𝑎^3 + 56𝑏^3
We can write the given question as,
7𝑎^3 + 56𝑏^3 = 7(𝑎^3 + 8𝑏^3)
According to the equation,
𝑎^3 + 𝑏^3 = (𝑎 + 𝑏)(𝑎^2 − 𝑎𝑏 + 𝑏^2)
So we get,
7(𝑎^3 + 8𝑏^3)
= 7[(𝑎)^3 + (2𝑏)^3]
Using the formula
= 7[(𝑎 + 2𝑏)(𝑎^2 − 𝑎(2𝑏) + (2𝑏)^2]
= 7(𝑎 + 2𝑏)( 𝑎^2 − 2𝑎𝑏 + 4𝑏^2)
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