How do you simplify #(3a^2ab2b^2)/(a^3b^3 )÷ (15a^2+10ab)/(5a^2+5ab+10b^2)#?
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To simplify the expression (3a^2ab2b^2)/(a^3b^3) ÷ (15a^2+10ab)/(5a^2+5ab+10b^2), we can follow these steps:

Simplify the numerator and denominator separately:
 In the numerator, we have (3a^2  ab  2b^2).
 In the denominator, we have (a^3b^3).

Divide the numerator by the denominator:
 Divide (3a^2  ab  2b^2) by (a^3b^3).

Simplify the second fraction:
 Simplify (15a^2 + 10ab) / (5a^2 + 5ab + 10b^2).
Combining these steps, the simplified expression is: (3a^2  ab  2b^2) / (a^3b^3) ÷ (15a^2 + 10ab) / (5a^2 + 5ab + 10b^2)
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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