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8𝑥^3 −1/27𝑦^3

Answer:

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)

"hello guys welcome back to the homework
i'm ravind kumar working as a tutor at
leader
so today we are going to solve and
explore one more very easy and
interesting question
so let's see and now we can solve it
okay so that is they have given here it
has
8 x cube minus 1 by 27 y cube
so that it can be written in the format
of 2 x whole cube
minus 1 by 3 y whole cube also right
so that is equals to again in the format
of a minus
a cube minus b cube so that is a minus b
of a square plus a b
plus b squared so that is the thing here
so we can solve it
2 x minus 1 by 3 y off
so that is a square so that is of 4 x
squared plus and here a b right 2
x multiplied by 1 by 3 y
plus 1 by 9 y squared so that you will
be getting the final answer
is 2 x minus 1 by 3
by off of 4 x
square plus here you will be getting 2 x
by 3 2 x by 3 y
plus one by nine y square
so that is the thing here so i hope you
understand what i've done and
video if you have any doubts please
comment below don't forget to subscribe
to this channel thank you so much for
watching this stay tuned thank you
"

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