Q. Add.The numerator should be expanded and simplified. The denominator should be either expanded or factored.x−56+x−21=
Identify Common Denominator: Identify the common denominator for the fractions(x−56) and (x−21). To add fractions, we need a common denominator. The common denominator will be the product of the two distinct denominators (x−5) and (x−2). Common Denominator: (x−5)(x−2)
Rewrite with Common Denominator: Rewrite each fraction with the common denominator.We need to adjust the numerators to reflect the new common denominator.x−56 becomes (x−5)(x−2)6(x−2)x−21 becomes (x−5)(x−2)1(x−5)
Expand Numerators: Expand the numerators of both fractions.Now we expand the numerators to simplify the expression.(6)(x−2)=6x−12(1)(x−5)=x−5
Add Expanded Numerators: Add the expanded numerators together.Now we add the two expanded numerators while keeping the common denominator.(6x−12)+(x−5)=7x−17
Write as Single Fraction: Write the sum as a single fraction.The sum of the two fractions with the common denominator is:(7x−17)/((x−5)(x−2))