Question

factorize
x^3-2x-4
answer with explanation ​

Answer 1

$\huge {\underline {\underline \pink{ƛƝƧƜЄƦ}}}$

$\bf \pink{Factorize \: {x}^{3} - 2x - 4 }$

$\bf \purple{ \implies {x}^{3} - 4x + 2x - 4 }$

$\bf \pink{ \implies x( {x}^{2} - 4) + 2(x - 2)}$

$\bf \purple{ using \: identity}$

$\bf \pink{ {a}^{2} - {b}^{2} = (a - b)(a + b) }$

$\bf \purple{ \implies x(x - 2)(x + 2) + 2(x - 2)}$

$\bf \pink{ \implies (x - 2)(x(x + 2) + 2)}$

$\bf \purple{ \implies (x - 2)( {x}^{2} + 2x + 2)}$

Additionally

⠀⠀⠀⠀

How to factorize :-

⠀⠀⠀⠀

• Step1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.

⠀⠀⠀⠀

• Step2: Rewrite the middle with those numbers

⠀⠀⠀⠀

• Step3: Factor the first two and last two terms separately:

⠀⠀⠀

• Step4: If we've done this correctly, our two new terms should have a clearly visible common factor.