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Marizza181 [45]
2 years ago
14

Expand & simplify (3x-4)^2 - (x+1)(x-1) Please anyone? I'm really bad at maths-

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
5 0
The answer would be 8x^2-24x+17
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Solve this query plzzz​
Olin [163]

Step-by-step explanation:

\frac{\sin \:4A}{\cos \:2A}  \times \frac{1 - \cos \:2A}{1 - \cos\:4A}   = \tan \:A \\  \\ LHS =  \frac{\sin \:4A}{\cos \:2A}  \times \frac{1 - \cos \:2A}{1 - \cos\:4A}   \\  \\  =  \frac{2\sin \:2A.\cos \:2A}{\cos \:2A}   \times  \frac{1 - (2 { \cos}^{2}A - 1) }{1 - (2 { \cos}^{2}2A - 1) } \\  \\  = 2\sin \:2A   \times  \frac{1 - 2 { \cos}^{2}A  +  1}{1 - 2 { \cos}^{2}2A  + 1 } \\  \\  = 2\sin \:2A   \times  \frac{2- 2 { \cos}^{2}A  }{2 - 2 { \cos}^{2}2A   } \\  \\   = 2\sin \:2A   \times  \frac{2(1 - { \cos}^{2}A)  }{2 (1-  { \cos}^{2}2A)   } \\  \\   = 2\sin \:2A   \times  \frac{1 - { \cos}^{2}A}{1-  { \cos}^{2}2A   } \\  \\     = 2\sin \:2A   \times  \frac{ { \sin}^{2}A}{{ \sin}^{2}2A   } \\  \\    = 2  \times  \frac{ { \sin}^{2}A}{{ \sin}2A   } \\  \\   = 2  \times  \frac{ { \sin}^{2}A}{{ 2\sin}A. \cos \:   A } \\  \\   = \frac{ { \sin}A}{ \cos \:   A }  \\  \\  = tan \: A \\  \\  = RHS \\

7 0
3 years ago
AT YOUR NEW JOB AT THE COFFEE
alukav5142 [94]

Answer:

106 : 84

Step-by-step explanation:

53 : 42 = 106 : 84

The ratio is already in lowest terms so found I an equivalent ratio by multiplying both terms by 2.

7 0
3 years ago
Read 2 more answers
Simplify: ((x-5)3/2)^2/3<br> X-5<br> (x - 5)^2<br> (x – 5^)3
netineya [11]

Answer:

x - 5

Step-by-step explanation:

((x - 5) {}^{ \frac{3}{2} } ) {}^{ \frac{2}{3} }

(x - 5) {}^{ \frac{3}{2} }  { \times }^{ \frac{2}{3} }

(x - 5) {}^{ \frac{6}{6} }

(x - 5) {}^{1}

Therefore x - 5

7 0
2 years ago
How do I solve qudratic equations with factions, like this one:<br> <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B3%7D%2
IceJOKER [234]
There are several approaches.

(5/3)x^2 - 5 = 0 has the coefficients a=5/3, b=0 and c = -5.

Thus, the quadratic formula would be appropriate here:

         -0 plus or minus sqrt(0^2 - 4(5/3)(-5) )
x  = -------------------------------------------------------
                                 2(5/3)
         plus or minus sqrt(100/3)
    = ------------------------------------
                         10/3
            3      10
     = ------* ----------- = sqrt(3)    (answer)
          10     sqrt(3)
8 0
3 years ago
40% over 100 in simplest form​
Nadya [2.5K]

Answer:

25 is the reduced form

0.4 is the decimal form

8 0
3 years ago
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