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Mathematics 8 Online
OpenStudy (anonymous):

man i need help!!!!!!!!!!!!!!!!!!!!!! help me with mi math

OpenStudy (accessdenied):

What exactly do you need help with?

OpenStudy (hoblos):

question??

OpenStudy (anonymous):

Divide (x2 - 9) by (x + 3).

OpenStudy (hoblos):

x2 - 9 = (x-3)(x+3)

OpenStudy (hoblos):

so (x-3)(x+3)/(x + 3) = x-3

OpenStudy (accessdenied):

We could use a few methods here. Synthetic division (the divisor polynomial is degree 1 and has leading coefficient 1), long division, or just factoring the dividend polynomial and trying to remove a common factor that way.

OpenStudy (anonymous):

Find the product of 3c and (4c - 5).

OpenStudy (accessdenied):

The product is (3c)(4c - 5) we could just use distributive property here, taking 3c to 4c and -5 for the answer.

OpenStudy (anonymous):

so whats the answer to it i still dont understand

OpenStudy (anonymous):

nevermind i got it thanks for helping me

OpenStudy (accessdenied):

Distributive Property is... a(b + c) = ab + ac so, in this case (3c)(4c - 5) = (3c)(4c) + (3c)(-5) Then, we can reorder and simplify = (3)(4) (c*c) + (3)(-5) c = 12c^2 - 15c okay, no problem. :)

OpenStudy (anonymous):

Multiply (2x + 5)(3x - 4). i know its easy but your just so nice

OpenStudy (anonymous):

Divide and simplify: x3 x2 + 2

OpenStudy (accessdenied):

The usual technique is "FOIL" but I prefer using distribution twice FOIL: First Outer Inner Last (2x + 5)(3x - 4) (2x)(3x) + (2x)(-4) + (5)(3x) + 5(-4) first outer inner last Distributive: (2x + 5)(3x - 4) treating (3x - 4) like the "a" in that distributive property (2x + 5)a 2x(a) + 5(a) (2x)(3x - 4) + 5(3x - 4) (2x)(3x) + (2x)(-4) + (5)(3x) + 5(-4) Both ways work... from there, we can simplify by multiplying together the coefficients and adding like terms... 6x^2 - 8x + 15x - 20 6x^2 + 7x - 20

OpenStudy (accessdenied):

Is it \[ \frac{x^3}{x^2 + 2} \] ?

OpenStudy (anonymous):

yes bt i got another question 4exponets9 over4 expontents3. n since where here can i get to kno my tutors name?

OpenStudy (accessdenied):

there aren't any common factors between x^3 and x^2 + 2, so we end up with a remainder if we divide. I'm not sure if it still wants us to divide it As for next problem, we could just expand it out and cross out the common terms between the numerator and denominator (since 4/4 = 1, multiplying by 1 will not change the number) \[ \frac{4^9}{4^3} = \frac{\cancel{4\times4\times4}\times4\times4\times4\times4\times4\times4}{\cancel{4\times 4\times 4}} \] We would have 6 fours multiplied together as the remaining numbers

OpenStudy (anonymous):

whats your name?

OpenStudy (accessdenied):

sorry, I prefer to go by this alias here. I do not like to give out my personal information on-line. :P

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