How do you multiply #x(x+5)^2*2/(x^2-25)#?
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Factorise first.
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To multiply the expression x(x+5)^2*2/(x^2-25), you can follow these steps:
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Start by expanding the square term (x+5)^2, which gives you (x+5)(x+5) = x^2 + 10x + 25.
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Next, multiply x by the expanded expression: x(x^2 + 10x + 25) = x^3 + 10x^2 + 25x.
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Multiply the result from step 2 by 2: 2(x^3 + 10x^2 + 25x) = 2x^3 + 20x^2 + 50x.
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Now, factor the denominator x^2-25. It is a difference of squares, so it can be factored as (x+5)(x-5).
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Finally, simplify the expression by canceling out common factors between the numerator and denominator. In this case, (x+5) can be canceled out.
The simplified expression is: 2x(x^2 + 10x + 25)/(x+5)(x-5).
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When evaluating a one-sided 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 one-sided 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 one-sided 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 one-sided 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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