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Kobotan [32]
3 years ago
11

(x+1)^2 . (x^2+1) = 0

Mathematics
1 answer:
Maurinko [17]3 years ago
8 0

Answer:

x^4+2x^3+2x^2+2x+1

Step-by-step explanation:

Given that,

(x+1)^2 . (x^2+1) = 0

We know that, (a+b)^2=a^2+b^2+2ab

So,

(x+1)^2=x^2+1+2x

So,

(x+1)^2 . (x^2+1) = (x^2+1+2x)(x^2+1)\\\\=x^2\times x^2+x^2+2x^3+x^2+1+2x\\\\=x^4+2x^3+2x^2+2x+1

So, the value of the given expression is equal tox^4+2x^3+2x^2+2x+1

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What is the answer ?
vichka [17]

Answer:

the answer is 16

20/2 = 10

10÷5=2

x=4

y=1

2×4=8

2×1=2

8x2=16

6 0
2 years ago
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Answer:

Step-by-step explanation:

it is G

4 0
3 years ago
The perimeter of a rectangle is 40cm. If the length were doubled and the width halved, the perimeter would be increased by 16cm.
alexgriva [62]

Answer:

The dimensions of the original rectangle are Length =12cm, Width=8cm

Step-by-step explanation:

Let the length of the rectangle be x

Let the width of the rectangle be y

The perimeter of a rectangle is 40cm.

2(x+y)=40

Divide both sides by 2

x+y=20

If the length were doubled(2x) and the width halved(y/2), the perimeter would be increased by 16cm,i.e.(40+16)cm

Therefore:

2(2x+\dfrac{y}{2})=56

Divide both sides by 2

2x+\dfrac{y}{2}=28

From the first equation, x=20-y.

Substitute x=20-y into 2x+\dfrac{y}{2}=28

2x+\dfrac{y}{2}=28

2(20-y)+\dfrac{y}{2}=28\\\dfrac{4(20-y)+y}{2}=28\\80-4y+y=56\\-3y=-24\\$Divide both sides by -3\\y=8cm\\Recall:x=20-y\\x=20-8=12cm\\The dimensions of the original rectangle are Length =12cm, Width=8cm

5 0
3 years ago
In the spring the height of a vine was 15 inches in the fall the height of the fine was 120 inches what was the percent of incre
natima [27]
If we take 15 as the 100%, then, what the dickens is 120 in percentage of that?

well  \bf \begin{array}{ccllll}&#10;amount&\%\\&#10;\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\&#10;15&100\\&#10;120-15&x&#10;\end{array}\cfrac{15}{120-15}=\cfrac{100}{x}

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6 0
3 years ago
The daily listening audience of an AM radio station is five times as large as that of its FM sister station. If 144,000 people l
kolezko [41]

Answer:

The number of FM listereners are 24000.

Step-by-step explanation:

Let the listeners of FM are p and thus the istereners of AM are 5p.

According to the question,

p + 5 p = 144000

6 p = 144000

p = 24000

The number of FM listereners are 24000.

5 0
3 years ago
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