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JulsSmile [24]
3 years ago
15

Pls help me simplify thisss

Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

9514 1404 393

Answer:

  2a(a^3 +a^3 b^2 +a b^2 +b^3)/(a^2 +b^2)

Step-by-step explanation:

Division is the same as multiplication by the inverse. Multiplication and division proceed left-to-right. So, we can rewrite the expression as ...

  \dfrac{a^3+a^3b^2+ab^2+b^3}{2a(a-b)^2}\times\dfrac{a^2-b^2}{a+2b}\times\dfrac{a^2+ab-2b^2}{a+b}\times\dfrac{4a^2}{a^2+b^2}\\\\=\dfrac{(a^3+a^3b^2+ab^2+b^3)(a-b)(a+b)(a+2b)(a-b)(4a^2)}{2a(a-b)^2(a+2b)(a+b)(a^2+b^2)}\\\\=\dfrac{4a^2}{2a}\cdot\dfrac{(a-b)^2}{(a-b)^2}\cdot\dfrac{a+2b}{a+2b}\cdot\dfrac{a^3+a^3b^2+ab^2+b^3}{a^2+b^2}\\\\=\boxed{\dfrac{2a(a^3+a^3b^2+ab^2+b^3)}{a^2+b^2}}

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An airplane flies due north from ikeja airport for 500km.It then flies on a bearing of 060 from a further distance of 300km befo
Nata [24]

Answer:

482 km

63.94 degrees

Step-by-step explanation:

to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.

Cosine rule states that

C = \sqrt{A^{2} + B^{2} -2AB   cos(c)  }

where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060

solving now, we have

C = \sqrt{500^{2} + 300^{2} -2 * 500 * 300 cos(60)  }

C = \sqrt{250000 + 90000 - [215000   cos(60)  }]

C = \sqrt{340000 - [215000 * 0.5  }]

C = \sqrt{340000 - [107500  }]

C =\sqrt{232500}

C = 482 km

The bearing can be gotten by using the Sine Rule.

\frac{sina}{A} = \frac{sinc}{C}

sina/500 = sin60/482

482 sina = 500 sin60

sina = \frac{500 sin60}{482}

sina = 0.8983

a = sin^-1(0.8983)

a = 63.94 degrees

6 0
3 years ago
Please and thank you
vampirchik [111]

Answer:

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Step-by-step explanation:

7 0
3 years ago
What is the number 100 before 2,589?
scoray [572]
Uhh yes it is wayyy before 2,589 I believe
5 0
3 years ago
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A cube has a surface area of 24. What's the volume?
Cerrena [4.2K]

Answer:

<h2 />

Step-by-step explanation:

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Drinking and Driving Among High School Students The percentage of high school students who drink and drive stood at 17.5% at the
Vikki [24]

Answer:

Step-by-step explanation:

The percentage of high school students who drink and drive at the beginning of 2001   =   17.5%

The percentage of high school students who drink and drive at the beginning of 20011   =   10.3%

Rate of decrease = 17.5 - 10.3 / 10

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The required linear function

f(t) =  - 0.72 x t + 17.5

b ) Rate of decrease in percentage = (17.5 - 10.3) / 10

= .72 %

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= - .72 x 13 + 17.5

= 8.14 %

6 0
4 years ago
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