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timama [110]
3 years ago
12

What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.

Mathematics
1 answer:
Orlov [11]3 years ago
8 0

Answer:

(2x - 5 ) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x - 35

The product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7 are not equal.

Step-by-step explanation:

Product means multiplication

Product of 2x - 5 and 3x^2 + 5x - 7

(2x - 5 ) (3x^2 + 5x - 7)

= 6x^3 + 10x^2 - 14x - 15x^2 - 25x - 35

Collect like terms

= 6x^3 + 10x^2 - 15x^2 - 14x - 25x - 35

= 6x^3 - 5x^2 - 39x - 35

Product of 5x - 2 and 3x^2 + 5x - 7

(5x - 2) (3x^2 + 5x - 7)

= 15x^3 + 25x^2 - 35x - 6x^2 - 10x + 14

Collect like terms

= 15x^3 + 25x^2 - 6x^2 - 35x - 10x + 14

= 15x^3 + 19x^2 - 45x + 14

The product of 2x – 5 and 3x^2 + 5x - 7equal to the product of 5x - 2 and 3x^2 + 5x - 7 are not equal.

They both consist of different variables in their multiplier

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The product of four different positive integers is 100. What is the sum of these four integers?
Leno4ka [110]

Step-by-step explanation:

The Answer for the above question is

The four integers are 1,2,5,10. And Sum of the four integers is 18 .

<u>Method : </u>

Product of four different positive integers is 100 .

<u>First</u> of all lets break the number "100"

 ⇒  100 = 50*2

 ⇒ 100 = 25 * 2 * 2

  ⇒ 100 = 5 * 5 * 2 * 2

But here we get the same  integers 2 and 5 and we want different positive integers . So hereby merge 5 * 2  which is 10.

Let's get to the possible combination -

  After merging 5*2 = 10 we get the answer as -

 ⇒ 100 = 1 * 2 * 5 * 10

 Here, we have 1, 2, 5, 10. these are the positive integers whose product gives 100 .

Sum of these products is -

   ⇒ Sum = 1 + 2 + 5 + 10

  ⇒  Sum = 18 .

Sum of these four Integers is 18.

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Answer:

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Step-by-step explanation:

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There are nine water bottles in a fridge. Three full boxes are added. Two more boxes are added, both of which have one fewer bot
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The number of bottles in a full box is 12.

<u><em>Explanation</em></u>

Suppose, the number of bottles in a full box is  x

So, the number of bottles in <u>three</u> full boxes =3x

Now, two more boxes are added, both of which have <u>one fewer bottle than the other three</u>. So, the number of bottles in these two boxes = 2(x-1)

As there were 9 bottles initially and now there are 67 bottles in the fridge, <em><u>so the equation will be</u></em>....

9+3x+2(x-1)=67\\ \\ 9+3x+2x-2=67\\ \\ 5x+7=67\\ \\ 5x=67-7\\ \\ 5x=60\\ \\ x=\frac{60}{5}=12

Thus, the number of bottles in a full box is 12.

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