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Eva8 [605]
3 years ago
8

Factoring a sum or difference of cubes: (x+5)^3-(2x+1)^3

Mathematics
2 answers:
klasskru [66]3 years ago
8 0
Use difference of cubes: a³-b³=(a-b)(a²+ab+b²)
(4-x)((x+5)²+(x+5)(2x+1)+(2x+1)²)
klasskru [66]3 years ago
6 0
(x + 5)³ - (2x + 1)³

Using the formula a³ - b³ = (a - b) (a² + ab + b²) , we get,

((x+5) - (2x + 1)) ((x+5)² + (x+5)(2x + 1) + (2x + 1)²)

Using formula of (a + b)² = a² + 2ab + b² , we get,

= (x + 5 - 2x - 1) (x² + 10x + 25 + 2x² + x + 10x + 5 + 4x² + 4x + 1)
= (-x +4) (7x² + 25x + 31)
= -7x³ - 25x² - 31x + 28x² + 100x + 124
= -7x³ + 3x² + 69x + 124  -----------> thats the answer


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The answer for your question is 2.

Step-by-step explanation:

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3 years ago
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A fish tank that is 5 feet long by 3 feet wide by 3 feet high has a 2 foot cubic stone placed in the bottom how much water will
maks197457 [2]

Answer:

37ft³

Step-by-step explanation:

Volume of the fish tank = length × width × height = 5ft × 3ft × 3ft = 45ft³

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Volume of the water = volume of the fish tank - volume of the cubic stone

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4 0
3 years ago
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agasfer [191]

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Step-by-step explanation:

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7 0
3 years ago
What is the length of the altitude of the equilateral triangle below?
Mazyrski [523]

ANSWER

The length of the altitude is 3\sqrt{3} units


<u>EXPLANATION</u>

The altitude of a triangle is the vertical height of the triangle.


From the diagram the altitude is a


Method 1: We can use Pythagoras theorem to find a


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We take the square root of both sides,

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\sqrt{9} \times \sqrt{3}=a


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Method 2 Using Trigonometry

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6 0
3 years ago
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In order to rewrite logarithms, we need to understand the basic fundamentals of them:
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Using this, we can say:
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3 0
3 years ago
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