Mathematics
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OpenStudy (anonymous):
Prime Factors of 125-y3.
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OpenStudy (lgbasallote):
we have a Edit Question button you know :)
OpenStudy (lgbasallote):
anyway..use the formula for difference of two cubes here
\[\large a^3 - b^3 = (a-b)(a^2 + ab + b^2)\]
OpenStudy (anonymous):
\[(5^3 - y^3)\]
Use the above formula to solve it...
OpenStudy (anonymous):
How about the prime factors of \[x ^{3}-1\] ?
OpenStudy (anonymous):
Just same..
You will use the same formula for this..
\[(x^3 - 1^3) = ???\]
Use the above formula to find it..
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OpenStudy (anonymous):
what is the prime actors of 8-\[x ^{3}\] ?
OpenStudy (lgbasallote):
still same.. 8 is 2^3
OpenStudy (lgbasallote):
x^3 is x^3
OpenStudy (anonymous):
Using same formula :
\[2^3 - x^3\]
OpenStudy (anonymous):
aa .. ThankYou ! :]
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OpenStudy (anonymous):
Welcome dear..
OpenStudy (anonymous):
how about the product o monomial by a binomial ? 3(x+5) ?
OpenStudy (anonymous):
Just distribute 3 inside the brackets:
\[a(b+c) = ab + ac\]
OpenStudy (anonymous):
is my answer right ? 3x+15 ?
OpenStudy (anonymous):
Yes you are right...
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OpenStudy (anonymous):
yey :]] and how about 4x(x-3) = 4x\[^{2}\]-12x ? is that's right ?
OpenStudy (anonymous):
Yes have faith on yourself you are very much correct in doing this..
OpenStudy (lgbasallote):
heh good one @eiznehr.12 :D
OpenStudy (anonymous):
hehe :]] Thankyou .. i just multiplied the monomial to the terms inside the parenthesis ? :]
OpenStudy (anonymous):
Yes that is what you are supposed to do...
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OpenStudy (anonymous):
but I don't know how to factorize \[x ^{3}\]-8 ..
OpenStudy (lgbasallote):
difference of two cubes still...x^3 is x^3 and 8 is 2^3
OpenStudy (anonymous):
\[(x^3 - 8) = (x^3 - 2^3)\]
Here, a = x and b = 2
Put these values of a and b in the formula written above and try it once on your own..
OpenStudy (anonymous):
hmmmm .. i got (x-2)(y2+2x+4)
OpenStudy (anonymous):
How come y^2??
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OpenStudy (anonymous):
You almost did that right but one mistake only...
OpenStudy (anonymous):
sorry it's x :]
OpenStudy (anonymous):
hehe
OpenStudy (anonymous):
x or x^2???
OpenStudy (anonymous):
its x^2
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OpenStudy (anonymous):
Yes now you are right:
\[x^3 - 8 = x^3 - 2^3 = (x-2)(x^2 + 2x + 4)\]
OpenStudy (anonymous):
yes ! :]] ThanksALot :]]
OpenStudy (anonymous):
Welcome dear..
OpenStudy (anonymous):
ThankYou again :] hehe
OpenStudy (anonymous):
Welcome again...