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kirill [66]
3 years ago
12

there was a 6 square-foot piece of wrapping paper for a birthday present. It takes 3 3/8 square feet of the paper to wrap the pr

esent. How many pieces of 6 square-foot paper are needed to wrap 3 of these presents?
Mathematics
1 answer:
Evgen [1.6K]3 years ago
7 0
3 3/8 × 3 = x
distribute
3×3 + 3×3/8=x
9+9/8=x
9+1+1/8=x
10 1/8=x
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With some simple rearrangement, we can rewrite the numerator as

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Then factorizing the difference of squares, x^2-1=(x-1)(x+1), we end up with

\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}

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