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Divide. (15u^4y^2+10u^3y) / (-2u^4y^2)

User Acer
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1 Answer

4 votes

Answer:

To divide (15u^4y^2 + 10u^3y) by (-2u^4y^2), we can simplify the expression by canceling out common factors:

1. Start by factoring out the common factors in the numerator and denominator. In this case, we have:

(15u^4y^2 + 10u^3y) / (-2u^4y^2) = (5u^3y(3u + 2)) / (-u^4y^2)

2. Next, divide each term in the numerator by the denominator. Since we have a negative sign in the denominator, it will affect the overall sign of the expression. Dividing each term gives us:

(5u^3y(3u + 2)) / (-u^4y^2) = -5(3u + 2) / u

3. Simplify the expression further if possible. In this case, there are no more common factors that can be canceled out.

Therefore, the simplified form of (15u^4y^2 + 10u^3y) / (-2u^4y^2) is -5(3u + 2) / u.

User Amir Hosseinzadeh
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8.2k points

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