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andre [41]
3 years ago
5

PLz help i need to pass

Mathematics
2 answers:
White raven [17]3 years ago
6 0

Answer:

[2, 7]

Step-by-step explanation:

5 + p = 2p + 3

- 2p - 2p

______________

5 - p = 3

-3 - 3

________

2 - p = 0

-2 - 2

________

-p = -2

2 = p [Plug this back into both equations above to get the n-term of 7]; 7 = p

I am joyous to assist you anytime.

Likurg_2 [28]3 years ago
5 0
LINEAR \: \: EQUATION \: \: IN \: \: TWO \\ \: \: VARIABLES \\ \\ \\\\Given \: system \: of \: equations \: - \\ \\ n \: = \: 2p \: + \: 3 \: \: \: - - - eq.(1) \\ \\ n \: = \: 5 \: + \: p \: \: \: - - - eq.(2) \\ \\ \: \\ Comparing \: eq.(1) \: \: and \: \: eq.(2) \: \\ We \: get \: \: -\\ \\ 2p \: + \: 3 \: = \: 5 \: + \: p \\ \\ 2p \: - \: p \: = \: 5 \: - \: 3 \\ \\ p \: = \: 2 \: \\ \\ Putting \: in \: eq.(1) \: \\ We \: get \: \: , \:  \: n = 7 \\ \\ Hence \: \: \: .\\ \\ || \: \: p \: = \: 2\: \: \: \: || \: \: n = \: 7 \: \: \: || \\ \\ \\ Therefore \: , \: Solution \: of \: the \: given \: system \\ of \: equations \: is \: \: \: ( \: 2 \: , \: 7 \: ) \: \: \: \: \: \: \: \: \: Ans.
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(i) Write the expansion of (x + y)² and (x - y)². (ii) Find (x + y)² - (x - y)² (iii) Write 12 as the difference of two perfect
zaharov [31]

Answer:

1a (x + y)² = x² + 2xy + y²

1b. (x - y)² = x² - 2xy + y²

2. (x + y)² - (x - y)² = 4xy

3. 4² – 2² = 12

Step-by-step explanation:

1a. Expansion of (x + y)²

(x + y)² = (x + y)(x + y)

(x + y)² = x(x + y) + y(x + y)

(x + y)² = x² + xy + xy + y²

(x + y)² = x² + 2xy + y²

1b. Expansion of (x - y)²

(x - y)² = (x - y)(x - y)

(x - y)² = x(x - y) - y(x - y)

(x - y)² = x² - xy - xy + y²

(x - y)² = x² - 2xy + y²

2. Determination of (x + y)² - (x - y)²

This can be obtained as follow

(x + y)² = x² + 2xy + y²

(x - y)² = x² - 2xy + y²

(x + y)² - (x - y)² = x² + 2xy + y² - (x² - 2xy + y²)

= x² + 2xy + y² - x² + 2xy - y²

= x² - x² + 2xy + 2xy + y² - y²

= 2xy + 2xy

= 4xy

(x + y)² - (x - y)² = 4xy

3. Writing 12 as the difference of two perfect square.

To do this, we shall subtract 12 from a perfect square to obtain a number which has a perfect square root.

We'll begin by 4

4² – 12

16 – 12 = 4

Find the square root of 4

√4 = 2

4 has a square root of 2.

Thus,

4² – 12 = 4

4² – 12 = 2²

Rearrange

4² – 2² = 12

Therefore, 12 as a difference of two perfect square is 4² – 2²

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