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
hjlf
3 years ago
5

Please help with a, b, and c!!

Mathematics
2 answers:
ipn [44]3 years ago
8 0
A. (3j - 5)(3j + 5)
    3j(3j + 5) - 5(3j + 5)
    3j(3j) + 3j(5) - 5(3j) - 5(5)
    9j² + 15j - 15j - 25
    9j² - 25

b. (4h + 5)²
    (4h + 5)(4h + 5)
    4h(4h + 5) + 5(4h + 5)
    4h(4h) + 4h(5) + 5(4h) + 5(5)
    16h² + 20h + 20h + 25
    16h² + 40h + 25

c. (g - 2)²(g + 2)²
    (g - 2)(g - 2)(g + 2)(g + 2)
    (g(g - 2) - 2(g - 2))(g(g + 2) + 2(g + 2))
    (g(g) - g(2) - 2(g) + 2(2))(g(g) + g(2) + 2(g) + 2(2))
    (g² - 2g - 2g + 4)(g² + 2g + 2g + 4)
    (g² - 4g + 4)(g² + 4g + 4)
    g²(g² + 4g + 4) - 4g(g² + 4g + 4) + 4(g² + 4g + 4)
    g²(g²) + g²(4g) + g²(4) - 4g(g²) - 4g(4g) - 4g(4) + 4(g²) + 4(4g) + 4(4)
    g⁴ + 4g³ + 4g² - 4g³ - 16g² - 16g + 4g² + 16g + 16
    g⁴ + 4g³ - 4g³ + 4g² - 16g² + 4g² - 16g + 16g + 16
    g⁴ - 12g² + 4g² + 16
    g⁴ - 8g² + 16
padilas [110]3 years ago
5 0
(a). 
The product of two binomials is sometimes called FOIL.
It stands for ...

       the product of the First terms                (3j  x  3j)
plus
       the product of the Outside terms          (3j  x  5)
plus
       the product of the Inside terms            (-5  x  3j)
plus
       the product of the Last terms                (-5  x  5)

FOIL works for multiplying ANY two binomials (quantities with 2 terms).

Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .

Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.

Whenever you have     

              (the sum of two things) x (the difference of the same things)

the product is going to be

                 (the first thing)²  minus  (the second thing)² .

So in (a), that'll be      (3j)² - (5)²  =  9j² - 25 .

You could find the product with FOIL, or with this easier tool.
______________________________

(b).
This is the square of a binomial ... multiplying it by itself.  So it's
another product of 2 binomials, that both happen to be the same:

                            (4h + 5) x (4h + 5)  .

You can do the product with FOIL, or use another little tool:

The square of a binomial        (4h + 5)²    is ...

         the square of the first term               (4h)²
plus
         the square of the last term                (5)²
plus
         double the product of the terms      2 · (4h · 5)
________________________________

(c).
Use the tool I gave you in part-a . . . twice .

The product of the first 2 binomials is           (g² - 4) .

The product of the last 2 binomials is also    (g² - 4) .

Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .

You might be interested in
The first thing you should do in solving a word problem is estimate what you think the answer would be.
Lelu [443]

Answer:

The answer is True.

Step-by-step explanation:

  • <u>Estimate the Answer Before Solving Having a general idea of a ballpark answer .</u>
  • <u>Or the problem lets students know if their actual answer is reasonable or not.</u>
6 0
2 years ago
A sanitary landfill has available space of 16.2 ha at an average depth of 10 m. Seven hundred sixty-five (765) cubic meters of s
AfilCa [17]

Answer:

16.3 years

Step-by-step explanation:

1 ha = 10,000 m^2

The total capacity of the landfill is:

C = 16.2*10,000*10 = 1,620,000\ m^3

If waste is compacted to twice its delivered density, its volume is half of the delivered volume. Assuming that a year has 52 weeks, the volume of compacted solid waste dumped per year is:

V=52*(5*0.5*765)\\V=99,450\ m^3

The expected life of the landfill is given by its capacity divided by the yearly volume:

L=\frac{C}{V}=\frac{1,620,000}{99,450} \\L=16,3\ years

The landfill has an expected life of 16.3 years.

6 0
3 years ago
Pakisagoat HAHAHAHAHHWHAHAH
denpristay [2]

Answer:

wdym

Step-by-step explanation:

8 0
2 years ago
18 tens 20 ones equal what hundreds
uysha [10]
200 is the answer so it would equal to 2 hundreds
8 0
3 years ago
Giving brainliest for CORRECT awnser.
choli [55]

Answer:

  C.  F(x) = x²

Step-by-step explanation:

"Quadratic" means "second degree". The only function with an exponent of 2 is choice C.

5 0
3 years ago
Other questions:
  • Five multiples of 3 that are not in the product game board
    9·1 answer
  • Evaluate −3x+5y when x=16 and y=14. Write your answer as a fraction in simplest form.
    15·1 answer
  • a. At the beginning of the year, Addison Company’s assets are $300,000 and its equity is $100,000. During the year, assets incre
    14·1 answer
  • 2/3-1/2=4/?-?/6 find the missing values
    7·1 answer
  • What is the square root of 2197?
    11·1 answer
  • What is the image of (-1,-6) after a reflection over the y-axis?
    6·2 answers
  • Data from the Office for National Statistics show that the mean age at which men in Great Britain get married was 33.0. A news r
    5·1 answer
  • Triangle ABC is isosceles with AB=CB. Circle M is inscribed in Triangle ABC such that it is tangent at points D, E, and F. If th
    14·1 answer
  • Please help!!
    11·1 answer
  • What is a translation (math)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!