Add. The numerator should be expanded and simplified. The denominator should be either expanded or factored. (7)/(x+4)+(3)/(x+6)=

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Add. The numerator should be expanded and simplified. The denominator should be either expanded or factored.  (7)/(x+4)+(3)/(x+6)=

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Identify common denominator: Identify the common denominator for the two fractions. To add the fractions, we need a common denominator. The least common denominator (LCD) for (x+4) and (x+6) is the product of the two, since they are distinct linear factors. Common Denominator: (x+4)(x+6)Rewrite fractions with common denominator: Rewrite each fraction with the common denominator. We need to adjust each fraction so that they both have the common denominator of (x+4)(x+6). First Fraction: (7)/(x+4) * ((x+6)/(x+6)) = (7(x+6))/((x+4)(x+6)) Second Fraction: (3)/(x+6) * ((x+4)/(x+4)) = (3(x+4))/((x+4)(x+6))Expand numerators of fractions: Expand the numerators of both fractions. Now we expand the numerators to simplify the fractions. First Fraction's Numerator: 7(x+6) = 7x + 42 Second Fraction's Numerator: 3(x+4) = 3x + 12Combine fractions: Combine the fractions. Now that both fractions have the same denominator, we can combine them by adding their numerators. Sum: (7x + 42 + 3x + 12)/((x+4)(x+6))Simplify numerator of combined fraction: Simplify the numerator of the combined fraction. Combine like terms in the numerator. Simplified Numerator: (7x + 3x) + (42 + 12) = 10x + 54Write final simplified fraction: Write the final simplified fraction. The combined fraction with the simplified numerator is: Final Answer: (10x + 54)/((x+4)(x+6))

Add. $\newline$ The numerator should be expanded and simplified. The denominator should be either expanded or factored. $\newline$ $\frac{7}{x+4}+\frac{3}{x+6}=$

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Add.\newlineThe numerator should be expanded and simplified. The denominator should be either expanded or factored.\newline7x+4+3x+6= \frac{7}{x+4}+\frac{3}{x+6}= x+47​+x+63​=

Add. $\newline$ The numerator should be expanded and simplified. The denominator should be either expanded or factored. $\newline$ $\frac{7}{x+4}+\frac{3}{x+6}=$