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
Ainat [17]
3 years ago
8

Hey what's the answer ?

8%20%7By%7D%5E%7B2%7D%20%20-%20%20%5Cfrac%7B14%7D%7B5%7D%20%29" id="TexFormula1" title="( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} )" alt="( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} )" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
3241004551 [841]3 years ago
7 0

Answer: y^4 + \frac{-73}{35}y^2- 2

Step-by-step explanation:

Use FOIL:

y^4 + \frac{-14}{5}y^2 + \frac{5}{7}y^2 + \frac{-70}{35}

Make  \frac{-14}{5}y^2 and \frac{5}{7}y^2 have the same numerator:

\frac{-14*7}{5*7}y^2 =\frac{-98}{35}y^2

\frac{5*5}{7*5} y^2=\frac{25}{35} y^2

Then add like terms and simplify:

y^4 + \frac{-98}{35}y^2 + \frac{25}{35} y^2 + \frac{-70}{35}

y^4 + \frac{-73}{35}y^2- 2

MissTica3 years ago
5 0

\implies {\blue {\boxed {\boxed {\purple {\sf { {y}^{4}  -  \frac{73 }{ 35} y² -  2}}}}}}

\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}

= ( {y}^{2}  +  \frac{5}{7} )( {y}^{2}  -  \frac{14}{5} )\\

=  {y}^{2} ( {y}^{2}  -  \frac{14}{5} ) +  \frac{5}{7} ( {y}^{2}  -  \frac{14}{5} )\\

=  {y}^{2 + 2}  -  ( \frac{14}{5} ) {y}^{2}  + ( \frac{5}{7} ) {y}^{2}  -  \frac{5 \times 14}{7 \times 5}\\

=  {y}^{4}  -  \frac{14  \: {y}^{2} }{5}  +  \frac{5  \: {y}^{2} }{7}  -  2\\

=  {y}^{4}  -  \frac{14  \: {y}^{2}  \times 7}{5 \times 7}  +  \frac{5 \:  {y}^{2}  \times 5}{7 \times 5}  -  2\\

=  {y}^{4}  -  \frac{ 98 \: {y}^{2} + 25  \: {y}^{2}  }{35}  -   2\\

=  {y}^{4}  -  \frac{73  }{ 35} y² -  2\\

<h3>\boxed{ OR   }</h3>

By using the identity (x + a)(x - b) =  {x}^{2}  + (a - b)x - ab,

where x=y², a=\frac{5}{7} and b= \frac{14}{5}

= ( {y}^{2}  +  \frac{5}{7} )( {y}^{2}  -  \frac{14}{5} )\\

= ({ {y}^{2} })^{2}  + ( \frac{5}{7}  -  \frac{14}{5} ) {y}^{2}  -  \frac{5}{7}  \times  \frac{14}{5}\\

=  {y}^{4}   +   (\frac{5 \times 5}{7 \times 5}  -  \frac{14 \times 7}{5 \times 7} ) {y}^{2}  - 2\\

=  {y}^{4}  + ( \frac{25 - 98}{35} )  {y}^{2}  - 2\\

=  {y}^{4}  -  \frac{73}{35}  {y}^{2} - 2\\

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}

You might be interested in
I really need help with this problem!!! Can someone help!!!! Please!!!
Alex_Xolod [135]

9514 1404 393

Answer:

  (a)  31.5 in²

Step-by-step explanation:

The area of a rhombus is half the product of the lengths of the diagonals.

  A = 1/2(d1)(d2)

  A = (1/2)(7 in)(9 in) = 31.5 in²

There are 31.5 in² of space in the rhombus for engraving.

5 0
2 years ago
Is 95/72 closer to 0, 1, 2 or 3
kozerog [31]
1.3 so closer to 1 !! Best of luck
6 0
3 years ago
Read 2 more answers
From the parking lot at red hill shopping center the angle of the top of the hill is about 25 from the base of the hill the angl
eimsori [14]

Answer:

512 ft.

Step-by-step explanation:

From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.

Solution:

Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:

tan 25 = h/(x + 740)

h = (x + 740)tan 25       (1)

tan 55 = h / x

h = x tan 55        (2)

Hence:

(x + 740)tan 25 = xtan 55

0.4663(x + 740) = 1.428x

0.4663x + 345.07 = 1.428x

0.9617x = 345.07

x = 359 ft.

h = xtan55 = 359 tan(55) = 512 ft.

8 0
2 years ago
Question 7 (5 points)
vekshin1

Answer:

D.7

Step-by-step explanation:

4 - ( - 3) = 4 + 3(because \:  -  \times  - ) \: it \: is \: positive \\  = 7

4 0
2 years ago
130 dakika kaç saat kaç dakika​
n200080 [17]

Answer:

Can you write in English?

6 0
3 years ago
Other questions:
  • When you use place value to exchange equal amounts when renaming a number what are you doing?
    12·2 answers
  • Please simplify the expression.
    7·1 answer
  • The average person drinks 1 pint of milk a day. At this rate, how many gallons will a person drink in a leap year
    12·2 answers
  • The picture wilk explain it all i am super confused and hopefully someone can reply back fast
    10·2 answers
  • How do you answer this problem<br><br> -6n - -2n= 16
    12·2 answers
  • I am down help please
    7·1 answer
  • Please help please help
    6·1 answer
  • What is the selling price for a backpack if a store pays $72 and the markup is 32%? Be ready to explain your answer.
    15·1 answer
  • If same earns $2 more, he’ll have $24. How much does he have to start out with?
    7·2 answers
  • I need help my teacher didn’t even explain how to do this
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!