3 years ago

How do I work this problem?

Mathematics

1 answer:

fomenos3 years ago

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I need help asap someone please help me i dont understand this question so can someone help me

eduard

Answer:

we conclude that:

$\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}=\frac{1}{2p^3-p^2}$

Step-by-step explanation:

Given the expression

$\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$=\frac{2p}{4p^2-1}\times \frac{6p+3}{6p^3}$

$=\frac{2p}{4p^2-1}\times \frac{2p+1}{2p^3}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{2p\left(2p+1\right)}{\left(4p^2-1\right)\times \:2p^3}$

cancel the common factor: 2

$=\frac{p\left(2p+1\right)}{\left(4p^2-1\right)p^3}$

cancel the common factor: p

$=\frac{2p+1}{p^2\left(4p^2-1\right)}$

$=\frac{2p+1}{p^2\left(2p+1\right)\left(2p-1\right)}$

cancel the common factor: 2p+1

$=\frac{1}{p^2\left(2p-1\right)}$

Expanding

$=\frac{1}{2p^3-p^2}$

Thus, we conclude that:

$\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}=\frac{1}{2p^3-p^2}$

7 0

3 years ago

Four yardequal Blank feet

jonny [76]

1 yard = 3 feet

3 * 4 = 12

So 4 yards is equal to 12 feet.

3 0

3 years ago

Read 2 more answers

A train travels 25 miles in 20 minutes. What is the train speed in miles per hour?

kenny6666 [7]

60 min = 1 hour

1st we need to know how many times 20 goes in 60 so we will divide.

60 ÷ 20 = 3

Now we will multiply to find the trains speed in miles per hour.

3 × 25 = 75

SO, the train travels 75 miles per hour.

Hope I helped ya!!

4 0

3 years ago

A land mass is roughly in the shape of a rectangle whose perimeter is 1200 miles the width is 120 miles less than the length fin

Ostrovityanka [42]

Answer:

Length: 360. Width: 240.

Step-by-step explanation:

360 * 2 = 720

240 * 2 = 480

720 + 480 = 1,200

7 0

3 years ago

lara chooses a square number she rounds it to the nearest hundred her answer is200 write all the possible square numbers lara co

velikii [3]

169 (13 squared) 196 (14) 225 (15)

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4 years ago