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stepladder [879]
3 years ago
7

32ax + 12bx - 48ay - 18byfactor the polynomial​

Mathematics
2 answers:
Elena-2011 [213]3 years ago
6 0

Answer:

2(8a + 3b)(2x - 3y)

Step-by-step explanation:

32ax + 12bx - 48ay - 18by =

The first step in factoring is to factor out a common factor.

32, 12, -48, and -18 have the greatest common factor of 2.

= 2(16ax + 6bx - 24ay - 9by)

To factor a 4-term polynomial, factor it by parts. We factor out a common factor out of the first two terms, and we factor out a common factor out of the last two terms.

= 2[2x(8a + 3b) - 3y(8a + 3b)]

Now we have a common factor of 8a + 3b, so we factor that out.

= 2[(8a + 3b)(2x - 3y)]

Remove the unnecessary brackets.

= 2(8a + 3b)(2x - 3y)

Now we check every factor to confirm that no more factoring is possible.

There are no more common factors, and there are no methods of factoring binomials that are applicable, so the factoring is complete.

Answer: 2(8a + 3b)(2x - 3y)

SashulF [63]3 years ago
4 0

Answer:

(16a + 6b) (2x - 3y)      

Step-by-step explanation:

32ax + 12bx - 48ay - 18by

(32ax - 48ay) + (12bx - 18by)

16a(2x - 3y) + 6b(2x - 3y)         Factor out in both seperate expressions

(16a + 6b) (2x - 3y)                    Double factoring

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During a week-long dry spell, the water level in a pond decreased by 4 in. Per day, except for two days when it decreased by hal
Helga [31]

Answer:

24 inches.

Step-by-step explanation:

Given:

During a week the water level in a pond decreased by 4 in. Per day,

For two days, it decreased by half that amount = 4\times\frac{1}{2}=2\ inches\ per\ day

Question asked:

How much did the water level decrease in the pond in one week?

Solution:

As we know, there are 7 days in a week.

<u>For 5 days,</u>

Each day water level decreased by = 4 inches

In 5 days, water level decreased by = 4\times5=20\ inches

<u>For exceptional 2 days:</u>

Each day water level decreased by = 2 inches

In 2 days, water level decreased by = 2\times2=4\ inches

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Therefore, water level decreased 24 inches in the pond in one week.

7 0
3 years ago
How would I find x?​
lidiya [134]

Answer:

f(x) = y

Step-by-step explanation:

f(x) always equals y, so the equation would be y = 7. therefore, I am pretty sure that x = y, but you may want to wait to ask your teacher. If there is more detail, message me!

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Step-by-step explanation:

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Viktor [21]

Answer: The mean is 9 cups, the median is 6 cups, and the total is 27.

Step-by-step explanation:

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