Q. Divide. If there is a remainder, include it as a simplified fraction.(25b3−45b2)÷5b
Divide Terms: We have the expression to divide: (25b3−45b2)÷5bFirst, we will divide each term in the polynomial by the monomial 5b.(25b3−45b2)÷5b= \frac{25b^3}{5b} - \frac{45b^2}{5b}
Divide First Term: Now let's divide the first term:(25b3)/(5b)=25/5×b3/b=5×b2=5b2
Divide Second Term: Next, we divide the second term:(45b2)/(5b)= 45/5×b2/b= 9×b= 9b
Combine Results: Combine the results of the division of each term:(25b3−45b2)÷5b=5b25b3−5b45b2=5b2−9b
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