Question

Recommendations Algebra 20.5 Multiply and divide ratio Divide. Write your answer in simpl (v-5)/(10v²+v-2)-:(v-3) Submit

Answer 1

To divide the expression (v-5)/(10v²+v-2) by (v-3), multiply the numerator and denominator by the conjugate of the denominator and simplify the expression to obtain (v-5) / (10v³ - 23v² - 7v + 6).

Step-by-step explanation:

To divide the expression (v-5)/(10v²+v-2) by (v-3), we can multiply the numerator and denominator of the expression by the conjugate of the denominator, which is (v-3). This will help us eliminate the division and simplify the expression.

(v-5)/(10v²+v-2) ÷ (v-3) = (v-5)/(10v²+v-2) × 1/(v-3)

Now, we can multiply the numerators and the denominators:

(v-5) × 1 = (v-5)

(10v²+v-2) × (v-3) = (10v³ - 23v² - 7v + 6)

Therefore, the simplified expression is (v-5) / (10v³ - 23v² - 7v + 6).