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hbhdnjdndj1867
24.06.2019 •
Mathematics
Simplify. x^2-3x-18/x+3 x - 3 x - 6 where x -3 x - 6 where x 6 1/x+3 where x -3 simplify x-2/x^2+4x-12 1/x+6 where x -6 1/x+6 where x -6,2 1/x+2 where x -2 x+2 simplify 5x^3/7 x^3+x^4 5/7+x where c 0,-7 5/7+x where x -7 5/7x where x 0 5/7 simplify x/6x-x^2 1/6-x where x 0,6 1/6-x where x 6 1/6x where x 0 1/6
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Ответ:
1. Option C is correct
2. Option A is correct
3. Option C is correct
4. Option B is correct
5. Option D is correct
Step-by-step explanation:
1. x^2-3x-18/x+3
Factorize the numerator
x^2-6x+3x-18/x+3
x(x-6)+3(x-6)/x+3
(x+3)(x-6)/x+3
x-6
x-6 where x≠6
Option C is correct.
2. x-2/x^2+4x-12
Factorizing the denominator
x-2/x^2+6x-2x-12
x-2/x(x+6)-2(x+6)
x-2/(x-2)(x+6)
1/x+6
1/x+6 where x≠-6
Option A is correct.
3. 5x^3/7 x^3+x^4
5x^3/7x^3+x^4
5x^3/x^3(7+x)
5/7+x
Option C is correct
5/7+x where x≠-7
4. Simplify x/6x-x^2
x/6x-x^2
x/x(6-x)
1/6-x
Option B is correct
1/6-x where x≠6
5. 2/3a * 2/a^2
Multiplying both terms
4/3a^3
Option D is correct.
4/3a^3 where a≠0
Ответ:
25
Step-by-step explanation: