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Mathematics 8 Online
OpenStudy (anonymous):

HELLLP!!!

OpenStudy (anonymous):

With?

OpenStudy (anonymous):

\[\sqrt[3]{8x^3-1}=2x-1\]

OpenStudy (anonymous):

u want to solve it?

OpenStudy (anonymous):

Yes, solve for x

OpenStudy (anonymous):

well,find \( (3x-1)^3 \)

Nnesha (nnesha):

i guess there is a typo isn't that ??? \[(2x-1)^3\]

OpenStudy (anonymous):

@Nnesha , yes ;)

Nnesha (nnesha):

:) cool :)

OpenStudy (anonymous):

u know it does equal to \[8x^3 - 1 - 12x^2 + 6x\]

OpenStudy (anonymous):

so the equation would be : \[8x^3 - 1 = 8x^3 - 1 - 12x^2 + 6x\]

OpenStudy (anonymous):

can u solve it now?

OpenStudy (anonymous):

Wait, is it possible to simplify the cube root?

OpenStudy (anonymous):

Into \[2x-1\]

OpenStudy (anonymous):

u can use \( a^3 - b^3 = (a-b)(a^2 + b^2 - ab) \) but here it wouldn't help.

OpenStudy (jhannybean):

\[\sqrt[3]{8x^3-1}=2x-1\]\[(\sqrt[3]{8x^3-1})^3 = (2x-1)^3\]

OpenStudy (jhannybean):

\[8x^3-1 = (2x-1)^3\]\[(a-b)^3 = a^3 -b^3 -3ab(a-b)\]

OpenStudy (anonymous):

@Jhannybean , i was writing as you're now writing ;D

OpenStudy (jhannybean):

Oh really? Haha I just saw it @PFEH.1999 :D

OpenStudy (anonymous):

but no prob , u can continue ;)

OpenStudy (jhannybean):

\[(2x-1)^3 \\ = 8x^3 -1-3(2x)(-1)(2x-1) \\ = 8x^3-1+6x(2x-1) \\ = \boxed{8x^3-1+12x^2-6x}\]

OpenStudy (jhannybean):

Oop. i took \(b\) as \(-1\) instead of \(1\).

OpenStudy (jhannybean):

Correction: \(8x^3 -1-12x^2+6x\)

OpenStudy (jhannybean):

So you would have: \[8x^3-1= 8x^3 -1-12x^2+6x\]Just group all your like terms togethr and simplify.

OpenStudy (anonymous):

okay

OpenStudy (jhannybean):

So let me know what you get, @science00000 :)

OpenStudy (anonymous):

this is a way to expand \((2x-1)^3=(2x-1) (2x-1)^2\)

OpenStudy (anonymous):

incase ur more comfortable with quadratic

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