All categories

3 years ago

Can you solve this in a good way please

Mathematics

1 answer:

IRINA_888 [86]3 years ago

8 0

Answer:

5/2 x^2y^2

Step-by-step explanation:

( x^2 - 3/5y^2)^2 + (3/4 x^2 + 4/5 y^2)^2 - (5/4x^2 - y^2)^2

= x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4 - ( 25/16x^4

- 5/2x^2y^2 + y^4)

Distributing the negative over the parentheses:-

= x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4

- 25/16x^4

+ 5/2x^2y^2 - y^4

Bringing like terms together

x^4 + 9/16x^4 - 25/16x^4 - 6/5x^2y^2 + 6/5x^2y^2 + 5/2x^2y^2 + 16/25y^4 + 9/25y^4

- y^4

Adding like terms:-

= 5/2 x^2y^2 Answer

You might be interested in

A calculator which is marked at $120 is sold for cash at a 30% discount. How much change would Susan receive if she pays for the

solong [7]

Answer:

64 dollars

Step-by-step explanation: 120×30%= $36-$100= $64

5 0

2 years ago

T is the midpoint of SU. Find ST, TU and SU. 10x-14 5x+16 S———T———U

jeka94

since T is the midpoint of SU, then ST = TU.

$\bf \stackrel{10x-14}{\boxed{S}\rule[0.35em]{10em}{0.25pt}} T\stackrel{5x+16}{\rule[0.35em]{10em}{0.25pt}\boxed{U}} \\\\\\ \stackrel{ST}{10x-14}=\stackrel{TU}{5x+16}\implies 5x-14=16\implies 5x=30\implies x=\cfrac{30}{5}\implies x=6 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ST}{10(6)-14\implies 46}~\hfill \stackrel{TU}{TU=ST=46}~\hfill \stackrel{SU}{ST+TU=92}$

6 0

3 years ago

Twenty-four students brought their permission slips to attend the class field trip to the local art museum. If this represented

lukranit [14]

If 24 students went on a field trip, and 24 students represented eight tenths of the class, then $24 = \frac{8}{10}x$ .
First, multiply by 10 on both sides.
240 = 8x
Divide by 8 on both sides.
x = 30.

The class has 30 students in all.
This is, however, only the equation way to solve.

7 0

3 years ago

I AM BEGGING YOU PLEASE IF YOU HAVE A HEART AWNSER FOR 50 POINTS AND BRILLIANT!!!

dangina [55]

5. Yes 1,2, or 3 hours
6. No, because the distance will never change and there aren't multiple values
7. Yes, yes or no (a person could be colorblind)
8. Yes, yes or no (a person could be colorblind)
9. Yes: Rap, country, pop, classical, etc

4 0

3 years ago

Read 2 more answers

At a ski resort, 1/4 of the 300 skiers are beginners, and 1/4 of the 260 snowboarders are beginners. The resort staff used the d

Evgen [1.6K]

$\frac{1}{4}(300 + 260) = \frac{1}{4} \times 300 + \frac{1}{4} \times 260$ is the expression that demonstrates the distributive property

Solution:

Given that,

At a ski resort, $\frac{1}{4}$ of the 300 skiers are beginners

$\frac{1}{4}$ of the 260 snowboarders are beginners

The resort staff used the distributive property to make the calculation of the total number of beginners on the ski slopes

Beginners in skiers = $\frac{1}{4}$ of the 300

Beginners in snowboarders = $\frac{1}{4}$ of the 260

Total number of beginners = Beginners in skiers + Beginners in snowboarders

$\text{ Total number of beginners } = \frac{1}{4}(300) + \frac{1}{4}(260)$

We have to use distributive property

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum

Therefore, our expression is:

$\frac{1}{4}(300) + \frac{1}{4}(260)$

We have to take $\frac{1}{4}$ as common term to get distributive property

$\frac{1}{4}(300) + \frac{1}{4}(260) = \frac{1}{4}(300 + 260)\\\\\frac{1}{4} \times 300 + \frac{1}{4} \times 260 = \frac{1}{4}(300 + 260)$

Thus distributive property is applied

8 0

3 years ago