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