Question

Find the LCM of the following polynomials x(8x³+27) and 2x²(2x²+9x+9)

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

LCM of the  polynomials x(8x³+27) and 2x²(2x²+9x+9) is 2$x^{2}$(2x+3)(x+3)(4$x^{2}$ -6x+9)

Step-by-step explanation:

What is the LCM?

The LCM of two nonzero integers a and b is smallest positive integer that is a multiple of both a and b.

As per the question we need to find the LCM.

The given expression is  x(8x³+27) and 2x²(2x²+9x+9).

at first we simplify the expression

x(8x³+27)                                       2$x^{2}$(2$x^{2}$ +3x+6x+9)

= x((2x)^3 +3^3)                              =2$x^{2}${x(x+3)+3(2x+3)}

=x{(2x+3)(4$x^{2}$-6x+9)}                        = 2$x^{2}$(2x+3)(x+3)

now we can find the LCM

from the above definition we get

LCM of the  polynomials x(8x³+27) and 2x²(2x²+9x+9) is

2$x^{2}$(2x+3)(x+3)(4$x^{2}$ -6x+9).

to learn more about LCM follow the given link

https://brainly.in/app/ask?q=lcm

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