Q. Subtract.The numerator should be expanded and simplified. The denominator should be either expanded or factored.x7−x+82=□
Identify common denominator: Identify a common denominator for the two fractions.Since the denominators are x and x+8, the common denominator will be x(x+8).
Rewrite fractions with common denominator: Rewrite each fraction with the common denominator.The first fraction becomes (7x(x+8))/(x(x+8)) and the second fraction becomes (2x(x+8))/(x(x+8)).
Expand numerators: Expand the numerators of both fractions.For the first fraction, the numerator is 7 and does not need expansion. For the second fraction, the numerator is 2(x+8), which expands to 2x+16.
Combine fractions: Combine the fractions by subtracting the numerators and keeping the common denominator.The combined fraction is (7−(2x+16))/(x(x+8)).
Simplify numerator: Simplify the numerator of the combined fraction. Simplify 7−(2x+16) to 7−2x−16.
Combine like terms: Continue simplifying the numerator by combining like terms. Combine 7 and −16 to get −9, so the numerator becomes −2x−9.
Write final simplified fraction: Write the final simplified fraction.The final answer is (−2x−9)/(x(x+8)).
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