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
Arisa [49]
3 years ago
11

Show that (4p^2-3q)^2+48p^2q =(4p^2+3q^2)​

Mathematics
1 answer:
Brut [27]3 years ago
5 0

Given:

The statement is

(4p^2-3q)^2+48p^2q=(4p^2+3q^2)

To prove:

The given statement.

Solution:

We have,

(4p^2-3q)^2+48p^2q=(4p^2+3q^2)

Now,

LHS=(4p^2-3q)^2+48p^2q

Using (a-b)^2=a^2+b^2-2ab, we get

LHS=(4p^2)^2+(3q)^2-2(4p^2)(3q)+48p^2q

LHS=(4p^2)^2+(3q)^2-24p^2q+48p^2q

LHS=(4p^2)^2+(3q)^2+24p^2q

It can be rewritten as

LHS=(4p^2)^2+(3q)^2+2(4p^2)(3q)

Using (a+b)^2=a^2+b^2+2ab, we get

LHS=(4p^2+3q^2)

LHS=RHS

Hence proved.

You might be interested in
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
N76 [4]

Answer:

7 feet

Step-by-step explanation:

Pythagorean theorem

sqrt(4.5^2 + 5.3^2) = hypotenuse

sqrt(48.34) = hypotenuse

6.95269732 = hypotenuse

round to nearest tenth

7 feet = the length of the hypotenuse

7 0
2 years ago
Read 2 more answers
-8 -8x + 10 + 6x = 19
hram777 [196]

Answer:

x = -8.5

Step-by-step explanation:

Let's rearrange the question to find x :)

-8x + 6x + 10 - 8 = 19

-2x + 2 = 19

-2             -2

-2x = 17

/-2      /-2

x = -8.5

4 0
3 years ago
2(x-5)=3(x+7) Show the process, please.
chubhunter [2.5K]

Answer:

-31

Step-by-step explanation:

(2×x) - (2×5) = (3×x) + (3×7)

2x-10 = 3x+21

2x-3x = 21+10

-x = 31

therefore, x = -31

5 0
3 years ago
Read 2 more answers
How do you become a junior helper?
Nesterboy [21]

Answer:

Honestly just do good things for people.

BRAINLEAST PLEASE

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Adam uses coconut milk for the dessert.
dmitriy555 [2]
V=(π)(r^2)(h)

π=3
r=half of the diameter=4
h=12

V=(3)(4^2)(12)
    = (3)(16)(12)
        = 576 cm cubed 


4 0
3 years ago
Other questions:
  • What percent of 137.4 is 96
    7·1 answer
  • The product of x and 5.2 is 104. Find the value of x
    13·2 answers
  • Match the expressions with the property used to generate 5y + 2y + 6 + 2. Distributive Property Commutative Prop
    6·1 answer
  • Is (2, 5) a solution to the set of the following equations: 3x + 7y = 41 and -2x – 4y = -24?
    12·2 answers
  • What conclusions can you draw by comparing the mean and MAD repairs per vehicle for each type of Vehicle
    5·1 answer
  • What is -2 divided by 2
    9·2 answers
  • I'll give brainly pls help​
    8·2 answers
  • -5(-3)(-3) Find the product. <br><br>​
    9·1 answer
  • PQR is reflected over the x-axis. What are the<br> coordinates of Q.
    6·1 answer
  • What is 6/10 plus 4/10
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!