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Black_prince [1.1K]
3 years ago
15

When p2 – 4p is subtracted from p2 + p – 6, the result is 5p-6 To get p – 9, subtract

Mathematics
2 answers:
jeka57 [31]3 years ago
6 0
(p^{2}  + p - 6) - (x) = p - 9

 is what is asked.

So all you need to do is a value that will result to p - 9.

x = (p^{2} + p - 6) - p + 9  To isolate x we just transpose the values from the other side of the equation and do the opposite operation. 

Combine like terms and just copy the terms that do not have similar expressions:

p will cancel out because p - p = 0
-6 and + 9  will come together because they are like terms: -6 + 9 = 3 
p^{2} does not have a pair so it will remain as is. you will be left with:

p^{2}  + 3

Let us check:

   p^{2} + p - 6
-  p^{2} + 0 + 3  
----------------------------
   0 + p - 9    or p -9               
vovangra [49]3 years ago
4 0

Answer:

We have to subtract p^2+3 from the given expression to obtain a difference of p-9

Step-by-step explanation:

We are given the following information in the question:

We are given an expression:

p^2 + p -6

We subtract p^2 - 4p from the given expression.

p^2 + p -6 - (p^2 - 4p)\\= (p^2 - p^2) + (p + 4p)-6\\=5p - 6

Now, we want to obtain the difference as p-9

Let x be the expression we subtract from the given expression, then we can write:

p^2 + p -6 - x = p-9\\p^2 +p -6-(p-9) = x\\x = p^2+(p-p)+(-6+9)\\x = p^2+3

Thus, we have to subtract p^2+3 from the given expression to obtain a difference of p-9

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