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natita [175]
2 years ago
8

Factorise : 64a cube minus 27b cube minus 144a square b plus 108ab square ​ .

Mathematics
1 answer:
Ad libitum [116K]2 years ago
8 0

Answer:

<h2>The answer is 4a(16a^2+27b^2)-3b(9b^2+48b)</h2>

Step-by-step explanation:

step one:

let us re-write the expression in mathematical terms for clarity

we have the expression stated  below

64a^3-27b^3-144b^2+108ab^2    

step two:

We are going to collect like terms before factorization we have

    64a^3+108ab^2-27b^3-144b^2

We can now factorize the expression we have  

4a(16a^2+27b^2)-3b(9b^2+48b)

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We have that
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 </span>- 1/(2-c)=-1/-(c-2)=1/(c-2)

(c-4)/(c-2)=(c-2)/(c+2)+ 1/(c-2)------- > (c-4)/(c-2)-1/(c-2)=(c-2)/(c+2) 
(c-4-1)/(c-2)=(c-2)/(c+2)---------------- > (c-5)/(c-2)=(c-2)/(c+2)

(c-5)/(c-2)=(c-2)/(c+2)------------- > remember (before simplifying) for the solution that c can not be 2 or -2
(c-5)*(c+2)=(c-2)*(c-2)------------------ > c²+2c-5c-10=c²-4c+4
-3c-10=-4c+4----------------------------- > -3c+4c=4+10----------- > c=14

the solution is c=14
 
the domain of the function is (-∞,-2) U (-2,2) U (2,∞) or 
<span>all real numbers except c=-2 and c=2</span>


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2 years ago
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pantera1 [17]

Answer:

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Step-by-step explanation:

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3 years ago
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You can represent the measures of an angle and its complement as x °and (90 - x). Similarly, you can
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Answer:

  1. 33°
  2. 90° -J°

Step-by-step explanation:

<h3>1)</h3>

If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...

  x +24 = 90 -x

  2x = 66 . . . . . add x-24

  x = 33 . . . . . . divide by 2

The measure of the angle is 33°.

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<h3>2)</h3>

Using J for x in the given complement relation:

The measure of the complement of J° is (90 -J)°.

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Answer:

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Step-by-step explanation:

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3 years ago
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Help me ASAP please.
Leni [432]

Answer:

Step-by-step explanation:

The vertex will occur when t=-b/(2a) for the quadratic ax^2+bx+c

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