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(𝑎 + 𝑏)^3 − (𝑎 − 𝑏)^3

Answer:

(𝑎 + 𝑏)^3 − (𝑎 − 𝑏)^3

According to the equation,

𝑎^3 − 𝑏^3 = (𝑎 − 𝑏)(𝑎^2 + 𝑎𝑏 + 𝑏^2)

So we get,

(𝑎 + 𝑏)^3 − (𝑎 − 𝑏)^3

= (𝑎 + 𝑏 − (𝑎 − 𝑏))((𝑎 + 𝑏)^2 + (𝑎 + 𝑏)(𝑎 − 𝑏) + (𝑎 − 𝑏)^2)

On further simplification

= (𝑎 + 𝑏 − 𝑎 + 𝑏)(𝑎^2 + 𝑏^2 + 2𝑎𝑏 + 𝑎^2 − 𝑏^2 + 𝑎^2 + 𝑏^2 − 2𝑎𝑏)

= 2𝑏(3𝑎^2 + 𝑏^2)

"hello guys welcome back to the room work
i'm revant kumar working as a tutorial
so today we are going to solve and
explore one very easy question
and it will be very easy to solve also
so let's see how we can do it okay so
the question i have given here it has
a plus b whole cube minus a minus b
whole cube oh my god a plus b whole cube
minus minus b whole cube we cannot do it
like very easily
so we can do it very easily also that is
it is in the format of aq minus b
cube right so a q minus b cube so this
is a and this is b
yo so that is a minus b of
a square plus a b plus b square u
so we can do it here a minus b that is
a plus b minus a minus
b right so of a square
that is a plus b whole square plus a b
that means a plus b of a minus b
and again plus b square that is a minus
b
whole square here so now it will be very
interesting
so a plus a plus b and your minus
a plus b right so a minus a plus b
minus a plus a will be getting canceled
and 2 b
of a plus b whole square that is a
square
plus b square plus 2 a b and here plus a
plus b of minus b means a
square minus b square and here plus
again a square plus b
square minus 2 a b right because it is m
s b o square know minus 2 a b b
and here plus 2 a b will be getting
cancel and plus b
square minus b square also will be
getting cancelled and it will be
remained with to be off so i'm writing
with another color
so 2b of a square a square
plus a square here a square plus a
square
and plus a square here again and plus b
square right so this is our final answer
and 2
b of 3 squared plus b square
so i hope you have understood like what
i've done here if you have
any doubts please comment below don't
forget to subscribe to the channel
thank you so much for watching this stay
tuned thank you
"

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