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Crank
3 years ago
5

Which of the following is the product of (3x − 5) and (3x + 5)?

Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0

Answer:

Step-by-step explanation:

These binomials make up the difference of squares.

3x * 3x = 9x^2

3x * 5 = 15x

-5 * 3x = - 15x

-5 * 5 = - 25

Notice the 2nd and 3rd terms. They are equal except that one is plus and the other minus. That means they cancel. You are left with

9x^2 - 25

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. Find four consecutive odd integers such that the sum of the first and fourth is 55 greater than the opposite of the third.
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Answer:

The four consecutive odd integers = 15, 17, 19, 21

Step-by-step explanation:

Four consecutive odd integers in Mathematics when x is an integer is given as:

x , x + 2 , x + 4, x + 6

Where:.

First integer = x

Second integer = x + 2

Third integer = x + 4

Fourth integer = x + 6

The sum of the first and fourth is 55 greater than the opposite of the third

Hence :

x + x + 6 = -(x + 4) + 55

x + x+6 = (-x - 4) + 55

2x + 6 = -x + 51

Collect like terms

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x = 15

Therefore,

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Second integer = x + 2 = 15 + 2 = 17

Third integer = x + 4 = 15 + 4 = 19

Fourth integer = x + 6 = 15 + 6 = 21

The four consecutive odd integers = 15, 17, 19, 21

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