What is the result of dividing x3−4 by x + 2?
x2−2x+4+4x+2
x2−2x+4+12x+2
x2−2x+4−12x+2
x2−2x+4−4x+2

Here, we are required to determine the result of dividing x³ - 4 by x + 2.

The result is Choice C;. x²−2x+4−12/(x+2)

The steps required for the division of

x³ - 4 by x + 2

can be made easier by assuming x³ - 4 to take the form;

x³ + 0x² + 0x - 4.

The step by step process for the division is attached to the image.

Ultimately, the division results into;

x²−2x+4−12/(x+2).

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x3−4 by x + 2? equals to  (x-3)/(4)=(x)/(2)

Step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)