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16𝑥^4 + 54𝑥

Answer:

16𝑥^4 + 54𝑥

We can write the given question as,

16𝑥^4 + 54𝑥 = 2𝑥(8𝑥^3 + 27)

According to the equation,

𝑎^3 + 𝑏^3 = (𝑎 + 𝑏)(𝑎^2 − 𝑎𝑏 + 𝑏^2)

So we get,

2𝑥(8𝑥^3 + 27)

= 2𝑥 ((2𝑥)^3 + 3^3)

Using the equation,

= 2𝑥 ((2𝑥) + 3)((2𝑥)^2 − (2𝑥)(3) + (3)^2)

= 2𝑥(2𝑥 + 3)(4𝑥^2 − 6𝑥 + 9)

"hi students
welcome to leader learning here i am
your leader tutor
to help you solve the question the
question we have is
16 x to the power 4 plus 54
x now to solve it first we'll take
2 as a common and we can also take
x as a common so in the bracket it will
be
8 x cube plus
27
just 27. now we can write this 8 as a 2
cube x cube plus 27 as
3q
now further we can apply this 2x whole
cube
plus 3q now here this numbers are in the
form of
a cube plus b cube so we can apply the
formula a plus b
in bracket a square minus a b plus b
square so we'll apply this formula
to x in bracket to
2 x whole square minus 2
multiplied by x multiplied by 3
plus 3 square now on further
simplification 2x will be as it is
the a plus b part is left 2 x plus
3 so in the bracket it's 2 x
plus 3 and this bracket the next bracket
will be 4 x square
minus 6 x
plus 9
so this way we simplify the question now
we cannot do
any more simplification out of this so
this we will consider
it as a our final answer
any more simplification will further
we will get back to the question
so this is our final answer
i hope you understood the question we
just used only one formula
aq plus b cube for any doubt you can
write in the comment section
for regular updates do subscribe to the
video channel thank you
"

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