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SVEN [57.7K]
4 years ago
15

Simplify (a+b)^3 + (a-b)^3 + 6a(a^2-b^2)

Mathematics
1 answer:
11111nata11111 [884]4 years ago
7 0

Answer:

8a^3.

Step-by-step explanation:

(a+b)^3=a^3+b^3+3a^2b+3ab^2

(a-b)^3=a^3-b^3-3a^2b+3ab^2

(a+b)^3+(a-b)^3=2a^3+6ab^2

According to the question

(a+b)^3+(a-b)^3+6a(a^2-b^2)

Put in the value

=2a^3+6ab^2 +6a^3–6ab^2

=8a^3

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Which number is the greatest -1.264,-5/4,-1.015,-0.480,-14/25,-13/8
harina [27]
These are all negative SO the number that is the greatest would be -.480. 
6 0
3 years ago
A building with a height of 40 meters casts a shadow that is 35 meters long. A statue next to the building casts a shadow that i
vfiekz [6]

9514 1404 393

Answer:

  8 meters

Step-by-step explanation:

The height of the object and its shadow length are presumed to be proportional.

  object height/shadow length = S/7= 40/35

Multiplying by 7 gives ...

  S = 7(40/35) = 8

The statue is 8 meters tall.

3 0
3 years ago
Calculate the estimate of the mean height of the students in cm and explain your answer
Zolol [24]

Step-by-step explanation:

we find the average height of each height first,

t¹= (120+124)/2

=244/2

=122

t²= (124+128)/2

t²= 252/2

t²= 126

t³= (128+132)/2

t³= 260/2

t³= 130

t⁴= (132+136)/2

t⁴= 268/2

t⁴ =134

t⁵= (136+140)/2

t⁵= 276/2

t⁵= 138

so multiplying each height by its frequency we can find the total height, so we have..

total height= (122*7)+(126*8)+(130*13)+(134*9)+(138*3)

= 854+1008+1690+1206+414

= 5172

mean height = total height/total frequency

= 5172/40

=129.3

8 0
3 years ago
Tiana was designing a fish tank that could hold 5,364 ml of water. She's already filled the tank a quarter of the way. How many
gavmur [86]

Answer: 4.023 litres

Step-by-step explanation:

Find out what a quarter of the capacity of the tank is first:

= 5,364 * 1/4

= 1,341 ml

The number of ml left to fill up the tank is:

= 5,364 - 1,341

= 4,023 ml

1 litre = 1,000 ml

4,023 ml in litres = 4,023 / 1,000

= 4.023 litres

7 0
3 years ago
Write the point-slope form of an equation of the line through the points (-2, -3) and (-7, 4).
AVprozaik [17]

Answer:

458435464546484845kdnh

7 0
3 years ago
Read 2 more answers
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