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Hunter-Best [27]
3 years ago
13

Find the product.

Mathematics
1 answer:
4vir4ik [10]3 years ago
3 0
Answer :

6{y}^{4} {z}^{2} + 12 {y}^{3} {z}^{2}-3 {y}^{3} {z}+3 {y}^{2} {z}^{2}

Step-by-step explanation :

To find the product of

3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)

First we expand the bracket ,

it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.

Hence

3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)

= 3 {y}^{2} z(2 {y}^{2} z) + 3 {y}^{2} z(4yz) - 3 {y}^{2} z(y )+3 {y}^{2} z( z)

we now apply the law of indices

{a}^{m} \times {a}^{n} = {a}^{m+n}

meaning, when you are multiplying two expressions with the same bases , repeat one of the bases and add the exponents.

Then, simplify to obtain

= 6{y}^{4} {z}^{2} + 12 {y}^{3} {z}^{2}-3{y}^{3} {z}+3 {y}^{2} {z}^{2}
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irga5000 [103]

Answer:

7

Step-by-step explanation:

8 0
3 years ago
The graph represents an object that is shot upwards from a tower and then falls to the ground. The independent variable is time
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3 0
3 years ago
Find the prime factors of 60 by dividing by prime numbers.​
Mars2501 [29]

Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

<h3>60 = 2*2*3*5</h3>

which is the same as saying

<h3>60 = 2^2*3*5</h3>
7 0
2 years ago
How do you solve this?
Sholpan [36]

40% of 60 is 24


To convert from percent to decimal, divide the percent without the percent symbol by  100.

so, 40% = 40/100 = 0.4

40% 60 is just 0.4*60 = 24

6 0
2 years ago
Read 2 more answers
What is the geometric mean of 6 and 9
Dmitry [639]
6+9=15
15 Divided by 2=7.5
Therefore your answer will be 7.5
4 0
3 years ago
Read 2 more answers
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