Question

factorize it a³ - a - 120. it's urgent. spams will be Reported. I'll mark Brainliest.​

Answer 1

Step-by-step explanation:

a^3 - a - 120

(a^3 - 125) - (a-5) = (a^3 -125) - (a-5)

(a-5) (a^2 + 5a + 25) - (a-5) = (a-5) (a^2 + 5a + 25) - (a-5)

(a-5) (a^2 + 5a + 24)

It just simple factorize we have to spilt it we have divide or multiple

Answer 2

$\bold{a^3 −a−120}$

Above terms can be written as,

$\bold{a^3 −a−125+5}$

Rearranging the above terms,we get

$\bold{a^3 −125−a+5}$

$\bold{(a^3 −125)−(a−5)}$

$\bold{(a^3 −5^3 )−(a−5)}$

We know that,

$\small \bold{a^3 −b^3 =(a−b)(a^2 +ab+b^2 )}$

$\bold{[(a−5)(a^2 +5a+5^2 )]−(a−b)}$

$\bold{(a−5)(a^2 +5a+25)−(a−5)}$

$\bold{(a−5)(a^2 +5a+25−1}$

$\bold{(a−5)(a^2 +5a+24)}$