1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mazyrski [523]
3 years ago
13

Can I have help with 43 and 44 I need to see how to do them thanks.

Mathematics
2 answers:
steposvetlana [31]3 years ago
7 0

1. 3x^5 -75x³

=3x³(x²-25)

=3x³(x²-5²)

=3x³(x-5)(x+5)

2. 81c²+72c+16

=81c²+36c+36c+16

=9c(9c+4)+4(9c+4)

=(9c+4)(9c+4)

=(9c+4)²

aliina [53]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

(43)

3x^{5} - 75x³ ← factor out 3x³ from each term

= 3x³(x² - 25) ← this is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

x² - 25 = x² - 5² = (x - 5)(x + 5)

Thus

3x^{5} - 75x³ = 3x³(x - 5)(x + 5)

(44)

81c² + 72c + 16 ← is a perfect square of the form

(ac + b)² = a²c² + 2abc + b²

Compare coefficients of like terms

a² = 81 ⇒ a = \sqrt{81} = 9

b² = 16 ⇒ b = \sqrt{16} = 4

and 2ab = 2 × 9 × 4 = 72

Thus

81c² + 72c + 16 = (9c + 4)²

You might be interested in
How can i find out what fraction is the largest?
MariettaO [177]
By paying attention in school
4 0
3 years ago
Based on the information below, choose the correct answers. Note: The monthly loan payment was calculated at 119 payments of $24
Lisa [10]

Since there are 120 payments in total

 Then the total interest paid is $ 9,118.32

The monthly interest = $ 9,118.32 / 120

The monthly interest = $ 75.99 per month

 

% total interest = ( $ 9,118.32/ 29,118.32) x 100

% total interest = 31.31 %

3 0
3 years ago
Read 2 more answers
A carousel has 56 horses 3/8 of them are white how many are not white
Korvikt [17]
The anwser would be 21
4 0
3 years ago
Read 2 more answers
I need help with finding the x?
mote1985 [20]

Answer:

In the middle of the page on the right side

Step-by-step explanation:

You look for angles

You find a triangle, square, etc.

Find the angle x

Ayy we found it :D

8 0
3 years ago
Read 2 more answers
mark began to create a garden in his backyard. He has 80 feet offence to enclose the rectangular garden and he wants to maximize
zloy xaker [14]
If you use perimeter you could use Length: 30 and width: 10 because 30 times 2 is 60 and 10 times 2 is 20 and add those together and you'll get 80 feet. hopefully that answered you question
3 0
3 years ago
Read 2 more answers
Other questions:
  • If the sine of / is / and the cosine of / is /, explain how to find the tangent of /.
    13·1 answer
  • A recipe includes 6 cups of flour and three fourths 3/4 cup of buttermilkbuttermilk. Write the ratio of the amount of flour to t
    12·1 answer
  • Which statement about polygon PQRST and its image after dilation, polygon P'Q'R'S'T', is correct?
    10·1 answer
  • -9+5 What is the answer of this question? It is Integers
    12·2 answers
  • (1.)
    9·2 answers
  • A rectangular picture frame measures 18" x 22". If 1 inch equals 2.54 cm, the dimensions of the picture frame in centimeters wou
    7·1 answer
  • Can someone help me please
    7·1 answer
  • Can someone please explain
    10·1 answer
  • Type the correct answer in the box
    12·2 answers
  • A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!