Factorise a^3+8b^3+64c^3-24abc
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Hey dear...
Here's your answer ⬇️⬇️⬇️
Given: a³+8b³+64³-24abc
➡ a³+8b³+64³-24abc
➡ a³+(2b)³+(4c)³-3×a×(2b)×(4c)
➡ X³+Y³+Z³-3XYZ, where X=a, Y=2b, Z=4c
➡ (X+Y+Z)[X²+Y²+Z²-XY - YZ- ZX]
➡ (a+2b+4c)[a²+2b²+4c²-a(2b)-2b(4c)-4c(a)]
➡ (a+2b+4c)(a²+4b²+16c²-2ab-8bc-4ca)
Hope it helps you!
Here's your answer ⬇️⬇️⬇️
Given: a³+8b³+64³-24abc
➡ a³+8b³+64³-24abc
➡ a³+(2b)³+(4c)³-3×a×(2b)×(4c)
➡ X³+Y³+Z³-3XYZ, where X=a, Y=2b, Z=4c
➡ (X+Y+Z)[X²+Y²+Z²-XY - YZ- ZX]
➡ (a+2b+4c)[a²+2b²+4c²-a(2b)-2b(4c)-4c(a)]
➡ (a+2b+4c)(a²+4b²+16c²-2ab-8bc-4ca)
Hope it helps you!
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