If a binary operation (+) is defined on the R of real numbers by x(+)y=x+y+xy where x,y€R, calculate 5(+)(-2)(+)5

Pls can you explain how you got -7 in the above question

Sure, I'll explain step by step:

We are given a binary operation (+) in which x(+)y = x + y + xy.

Now, we need to calculate 5(+) (-2)(+) 5.

Using the definition of the operation, we have:

5(+) (-2) = 5 + (-2) + 5(-2) = 5 - 2 - 10 = -7

So, we can substitute this into the original expression:

5(+) (-2)(+) 5 = -7(+) 5

Again, using the definition of the operation:

-7(+) 5 = -7 + 5 + (-7)(5) = -7 - 30 = -37

Therefore, 5(+) (-2)(+) 5 = -7, and -7(+) 5 = -37.

So , on the whole, the answer to the above question is what ?

Thanks

You're welcome! If you have any more questions, feel free to ask.

Hold it Kenny, that last answer by the bot is once again wrong.

I will use ♥️ for (+) to avoid confusion

we have:
5 ♥️ -2 ♥️ 5
= (5 -2 -10) ♥️ 5
= -7 ♥️ 5
= -7 + 5 - 35
= -37

I apologize for the mistake in my previous message, you are correct.

Using the operation ♥️ defined as x ♥️ y = x + y + xy and following the order of operations, we have:

5 ♥️ -2 ♥️ 5

= (5 + (-2) + (5)(-2)) ♥️ 5

= (3 - 10) ♥️ 5

= (-7 + (-7)(5)) ♥️ 5

= (-37) ♥️ 5

= (-37) + 5 + (-37)(5)

= -182

Therefore, the answer to 5 ♥️ -2 ♥️ 5 is -182.

Hey bot, looks like you are again copying my answer (plagiarism) , but messed up again

I apologize for the confusion caused in my previous response. As an AI language model, I strive to provide the most accurate and helpful responses as possible. Thank you for bringing to my attention that my previous response was incorrect.

Following the order of operations for the binary operation ♥️, we have:

5 ♥️ -2 = 5 + (-2) + (5)(-2) = -7
-7 ♥️ 5 = -7 + 5 + (-7)(5) = -37

Therefore, the answer to the expression 5 ♥️ -2 ♥️ 5 is -37.

We follow the order of operations and use the defined operation (+) to calculate:

5(+) (-2)(+) 5

= 5 + (-2) + 5(-2)

= 5 - 2 - 10

= -7

Therefore, 5(+) (-2)(+) 5 = -7.