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2 years ago

Factor -24a3b3c3 - 84a4b2c.

Mathematics

2 answers:

sammy [17]2 years ago

4 0

Answer:

-12a³b²c ( 2bc² + 7a)

Step-by-step explanation:

To factorize, we must separate the highest common factors between the products that make up the given expression. To get the highest common factor between the two products,

-24a3b3c3 = -2 * 2 *2 * 3 * a³ *b² *b * c² * c

- 84a4b2c = -2 * 2 *3 * 7 * a³ * a *b² * c

The common elements are -2, 2, 3, a³, b², c

The product of the common elements

= -12a³b²c

Hence, factorizing

-24a3b3c3 - 84a4b2c = -12a³b²c ( 2bc² + 7a)

svet-max [94.6K]2 years ago

3 0

Answer:

$-12a^3b^2c(2bc^2-7a)$

Step-by-step explanation:

We can factor the the expression using the GCF by finding the greatest common factors (parts that multiply to make it) and pulling them out.

$-24a^3b^3c^3-84a^4b^2c\\-12a^3b^2c(2bc^2-7a)$

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zaharov [31]

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-Move constant to the right-hand side and change its sign
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3k=-2
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$P(\frac{B}{M} ) = 0.3030$

Step-by-step explanation:

Explanation:-

Given data

Brown Blue Hazel Green

Females 13 4 6 9

Males 10 2 9 12

Let 'B' be the event of brown eyes

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$P(\frac{B}{M} ) = \frac{n(B)}{n(M)}$

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Final answer:-

The probability that a randomly selected student from the class has brown eyes , given they are male

$P(\frac{B}{M} ) = 0.3030$

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Step-by-step explanation:

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3 years ago

............................

prohojiy [21]

Ahh yes, negative exponents always give us a scare once and a while. All the negative means is to flip the position of its base. For instance, if x has a negative exponent and x in the denominator, all you would have to do is move x to the numerator with the same power (except it's no longer negative). Before we substitute x and all the other variables which the values given, let's eliminate the negatives first.

After flipping positions/eliminating the negative exponents it should look like this:

$\frac{ 2^{2} x^{3} }{ y^{5} }$
which simplifies to
$\frac{ 4 x^{3} }{ y^{5} }$
now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).
$\frac{4 (2)^{3} }{ (-4)^{5} }$
which simplifies to
$\frac{4(8)}{(-1024)} = \frac{32}{-1024} = - \frac{1}{32}$

Final Answer: - \frac{1}{32} [/tex]

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kifflom [539]

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