How do you factor $8x^3+27$ ?

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Answer 1 · 2018-03-07T09:27:42

You can't factorize it as:
$8x^3=2xx2xx2xx x xx x xx x$
And
$27=3xx3xx3$
Nothing is common....
$1(8x^3+27)$ can be written

Answer 2 · 2018-04-07T08:58:16

$color(magenta)(=>[4x^2-6x+9][2x+3]$

$8x^3+27$

$=>(2x)^3+3^3$

Using the identity: $color(red)(a^3+b^3=(a^2-ab+b^2)(a+b)$

$(2x)^3+3^3$

$=>[(2x)^2-(2x xx3)+3^2][2x+3]$

$color(magenta)(=>[4x^2-6x+9][2x+3]$

~Hope this helps! :)

How do you factor 8x^3+278x^3+27?