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3 years ago

Factorize 216x^3 + 64y^3

Mathematics

1 answer:

marin [14]3 years ago

5 0

Answer:

8( 3x+2y) ( 9x^2 -6xy +4y^2)

Step-by-step explanation:

216x^3 + 64y^3

Factor out the greatest common factor of 8

8( 27x^3 +8y^3)

Rewriting

8 ( (3x)^3 + (2y)^2))

Recognizing this as the difference of cubes)

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

8 ( (3x)^3 + (2y)^2)) = 8( 3x+2y) ( 9x^2 -(3x)(2y) +4y^2)

=8( 3x+2y) ( 9x^2 -6xy +4y^2)

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Michelle can fold 4 baskets of clothes in 54 minutes, while Ruby can fold 4 baskets of clothes in 108 minutes. How long will it

padilas [110]

Michelle can fold 4/54 baskets per minute = 8/108 baskets per minute.
Ruby can fold 4/108 baskets per minute.

Each minute Michelle and Ruby work together, they can fold
8/108 +4/108 = 12/108 = 1/9
of a basket of clothes. For 8 baskets of clothes, it will take them
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3 years ago

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Zina [86]

La pregunta requiere que calculemos la diferencia entre la temperatura final e inicial del agua.

Responder:

4 ° C

Explicación paso a paso:

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Temperatura inicial del agua = 7 ° C

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3 years ago

A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.] H

lapo4ka [179]

Answer: 8

Step-by-step explanation:

Given: A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles.

Total marbles other than green = 8

Total marbles other than green and yellow = 6

Then the number of sets of seven marbles include at least one yellow one but no green ones:-

$^{2}C_1\times^{6}C_6+ ^2C_2\times^6C_5\\\\= 2\times 1+1\times6\\\\=2+6=8$

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3 years ago

How do you get the number 24 with the numbers 2,6,4,1

elena55 [62]

Answer:

(2+6)*(4-1) = 24

(2-1)*(6*4) = 24

(2-1)*6*4 = 24

(2-1)*(4*6) = 24

(2-1)*4*6 = 24

(6+2)*(4-1) = 24

6*(2-1)*4 = 24

6/(2-1)*4 = 24

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3 years ago

What is the volume of the cylinder? Round your answer to the nearest whole number??

andreyandreev [35.5K]

Answer:

141

Step-by-step explanation:

1. The volume of a cylinder is $\pi r^2h$ , where r = radius and h = height. In this case, the height is 5 feet and the radius is 3 feet.

Solving Volume

Step 1: Plug in values

$\pi * 3^2 * 5$

Step 2: Simplify.

$3.14 * 9 * 5$
$28.26 * 5$
$141.3$
141.3 ≈ 141

Therefore, the volume of the cylinder is 141 ft^3 (but don't put ft^3, as mentioned in the problem).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

7 0

2 years ago