The simplified form of the function will be (√10 - √10 + √15 - √21 ).
<h3>
What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The expression will be calculated as:-
(√2 + √3 ) ( √5 - √7 ) = √2 (√5 + √7 ) + √3 ( √5 - √7 )
= √2√5 + √2√7 + √3√5 - √3√7
= √10 + √14 + √15 - √21
Therefore simplified form of the function will be (√10 - √10 + √15 - √21 ).
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Answer:
p = 8
Step-by-step explanation:
Let one root of the eqn. be alpha . Other root is 1/alpha .
We know that product of both roots of an quadratic eqn. is c/a where "c" is the co-efficient of the constant & "a" is the co-efficient of x^2.
Here "c" is p-4 & "a" is 4. And the product of roots is 1 ( ∵ prdouct of a number and its reciprocal is 1 )

Given vertical asymptotes x = 2 and x = -5 .
Therefore Factors of denominator (x-2)(x+5).
x-intercepts (-1,0) and (1,0) .
Therefore factors of (x+1)(x-1).
So far we got rational function =
.
Now, we are given horizontal asymptote at y = 9.
Multiplying above express by 9 on the top, we get
.
<h3>Therefore, required rational function is

.</h3>
Answer:
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Answer:
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