How do i solve a question on binomial expansion involvining partial fractions if it is stated this way.. x2-4x-8 / (1+x)(2+x)2

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Ответ:

lacybyrd

28.01.2020

Mathematics

Step-by-step explanation:

You have 16 1/2 ft of fence, and each piece of fence is 2 2/3 ft. This is a division problem. You need to divide 16 1/2 ft by 2 2/3 ft.

$16 \frac{1}{2} \div 2 \frac{2}{3} =$

First, we change each mixed numeral into a fraction.

$= \dfrac{16 \times 2 + 1}{2} \div \dfrac{2 \times 3 + 2}{3}$

$= \dfrac{33}{2} \div \dfrac{8}{3}$

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.

$= \dfrac{33}{2} \times \dfrac{3}{8}$

$= \dfrac{33 \times 3}{2 \times 8}$

$= \dfrac{99}{16}$

$= 6 \frac{3}{16}$

The fencing material is enough for 6 and 3/16 fences, but since you cannot have a fraction of a fence, you can make 6 fences.

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