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OpenStudy (anonymous):
i got 9y^3+4y^2
OpenStudy (anonymous):
@Data_LG2
OpenStudy (anonymous):
@Michele_Laino
OpenStudy (michele_laino):
we can simplify the second term, using the rules of division of powers with the same basis:
\[\frac{{8{y^4}}}{{2{y^2}}} = \frac{8}{2} \cdot {y^{4 - 2}} = ...?\]
please simplify
OpenStudy (michele_laino):
sorry is your expression like this:
\[\frac{{18{y^5} - 8{y^4}}}{{2{y^2}}} = ...?\]
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OpenStudy (michele_laino):
so the first term is correct! \(9y^3\)
OpenStudy (anonymous):
yes
OpenStudy (michele_laino):
the second term is:
\[\frac{{ - 8{y^4}}}{{2{y^2}}} = \frac{{ - 8}}{2} \cdot {y^{4 - 2}} = ...?\]
OpenStudy (anonymous):
-4y^2
OpenStudy (michele_laino):
right so your second term is:
\(-4y^2\), and the complete result is:
\(9y^3-4y^2\)
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OpenStudy (anonymous):
thank you. can you check one more
OpenStudy (michele_laino):
ok!
OpenStudy (anonymous):
x^2+10x+26/x+6 i have to get the quotient and the remainder. I got x+4 & 2 for the remainder
OpenStudy (michele_laino):
your answer is correct, since we have:
\[\left[ {\left( {x + 6} \right) \cdot \left( {x + 4} \right)} \right] + 2 = {x^2} + 10x + 26\]
OpenStudy (anonymous):
thank you. sorry but can you check another one?
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OpenStudy (michele_laino):
more explanation:
it is a proof, since we have:
(quotient times divisor) plus remainder = dividend
OpenStudy (michele_laino):
ok!
OpenStudy (anonymous):
3v^2(v+8)-7(v+8) rewrite by factoring out (v+8) I got (v+8)(3v^2-7)