Express 1/(x+4)-1/(x+7) as a single reduced fraction N(x)/D(x) where N(x) and D(x) are polynomials in x.

Urraiyg

Urraiyg

Answered question

2022-09-18

Express 1 x + 4 1 x + 7 as a single reduced fraction N ( x ) D ( x ) where N(x) and D(x) are polynomials in x.

Answer & Explanation

Katelyn Chapman

Katelyn Chapman

Beginner2022-09-19Added 13 answers

Solution:
1 x + 4 1 x + 7 = ( x + 7 ) ( x + 4 ) ( x + 4 ) ( x + 7 ) = x + 7 x 4 x 2 + 7 x + 4 x + 28 = 3 x 2 + 11 x + 28 = N ( x ) D ( x ) N ( x ) = 3 D ( x ) = x 2 + 21 x + 28

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