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The expression simplifies to 2, provided that \( a \) is not equal to -1.
Solución
We can simplify the expression by factoring the numerator:
(2 + 2a)/(1 + a) = 2(1 + a)/(1 + a)
As long as 1 + a ≠ 0 (that is, a ≠ -1), the (1 + a) terms cancel, and the expression simplifies directly to 2.
Thus, the simplified form is 2, with the condition that a ≠ -1.
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Simplifique esta solución Extra Insights
To simplify the expression \( \frac{2+2a}{1+a} \), you can factor out the common term in the numerator. Notice that \( 2 + 2a \) can be rewritten as \( 2(1+a) \). This gives us: \[ \frac{2(1+a)}{1+a} \] When \( 1+a \) is not equal to zero (to avoid division by zero!), you can simplify this to: \[ 2 \] So, \( \frac{2+2a}{1+a} = 2 \) for \( a \neq -1 \).
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