Answer:

Step-by-step explanation:
Factorise the denominator of the second fraction
y² - 1 = (y - 1)(y + 1) ← difference of squares
To obtain a common denominator
multiply numerator/ denominator of first fraction by (y + 1)
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← subtract numerators leaving the common denominator
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← cancel common factor (y - 1) on numerator/denominator
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<u>Sum of Cubes:</u>
a³ + b³ = (a + b)(a² - ab + b²)
Example: x³ + 8 → a=x, b=2
= (x + 2)(x² - 2x + 4)
<u>Difference of Cubes:</u>
a³ - b³ = (a - b)(a² + ab + b²)
Example: x³ - 27 → a=x, b=3
= (x - 3)(x² + 3x + 9)
<u>Difference of Squares:</u>
a² - b² = (a - b)(a + b)
Example: x² - 16 → a=x, b=4
= (x - 4)(x + 4)
Answer:
Step-by-step explanation:
y - 2 = -2(x - 3)
y - 2 = -2x + 6
y = -2x + 8
Let's take this variable by variable. z to the power of 4 over z to the power of one would equal z to the power of 3. At this point, there is no longer a z variable in the denominator.
X to the power of 2 over x to the power of 1 would equal x. At this point there is also no x variable in the denominator.
Y to the power of 1 over y to the power of 2 would equal (1/y). At this point, there is no y in the NUMERATOR.
Final Answer: