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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.

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melamori03 [73]

Answer:

15%

Step-by-step explanation:

we call the original price 100% and to find the discount amount :

Multiply 100 by $476 then divide by $560

100 × $476 ÷ $560 = 85

$476 is 85% of the original price therefore the amount of discount as in percentage is 100 - 85 = 15%

8 0
3 years ago
Salama makes fruit baskets with oranges and bananas.
vovangra [49]

<em><u>The ratio for problem is:</u></em>

oranges : bananas = 9 : 6 or oranges : bananas = 6 : 4

<em><u>Solution:</u></em>

Given that, Salama makes fruit baskets with oranges and bananas

She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2 bananas

Given ratio is:

Ratio of orange to bananas = 3 : 2

They add up to 5 fruits,  so some possible values are 5, 10, 15 , 20, 25, etc

But we need a value between 8 and 16 oranges and bananas

So we can choose 15 or 10

Now let us choose 15 and solve

Let the oranges be 3x

Let the bananas be 2x

Therefore,

3x + 2x = 15

5x = 15

x = 3

Thus oranges = 3x = 3(3) = 9

Bananas = 2x = 2(3) = 6

Thus the ratio for problem is:

oranges : bananas = 9 : 6

Similarly solve for 10

3x + 2x = 10

5x = 10

x = 2

Thus oranges = 3x = 3(2) = 6

Bananas = 2x = 2(2) = 4

Thus the ratio for problem is:

oranges : bananas = 6 : 4

8 0
3 years ago
What is 3x+2x-8y pls help
Snezhnost [94]

Answer:

5x -8y

Step-by-step explanation:

3x+2x-8y

3x and 2x are like terms so we can combine them

5x -8y

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2 years ago
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lapo4ka [179]
10+(-2)=10-2
Therefore 10-2=8
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Devon pays $39.95 for her gym membership. After that she pays $6.95 for each visit to the gym. What is the greatest number of vi
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88.60-39.95=48.65

48.65/6.95=7

Answer is 7
8 0
3 years ago
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