Question

X-30y/x²-100y² - 10y/10xy-x²

Answer 1

X-30y/x²-100y² - 10y/10xy-x² = ( x - 30y)*x/ x²- 100y² * x - 10x*10y /10xy - x²*10y =

-(x²- 30yx -100yx/ x²-100y²x) = - ( x²-130yx/ x²-100y²x) = -( 1  3/10y) = - 1,3

Answer 2

To simplify the expression, let's factor the denominators and simplify the fractions:

X-30y/x²-100y² - 10y/10xy-x²

The denominator of the first fraction can be factored as the difference of squares: x² - 100y² = (x - 10y)(x + 10y).

The denominator of the second fraction can be factored as a difference of squares as well: 10xy - x² = x(10y - x).

Now we can rewrite the expression:

(X - 30y)/(x - 10y)(x + 10y) - 10y/(x(10y - x))

Since the denominators are different, we need to find a common denominator. The common denominator is (x - 10y)(x + 10y)x.

Multiplying the numerators and denominators of the fractions to have a common denominator, we get:

[(X - 30y)(x)]/[(x - 10y)(x + 10y)x] - [10y(x + 10y)]/[(x - 10y)(x + 10y)x]

Simplifying further, we have:

[(X - 30y)(x) - 10y(x + 10y)]/[(x - 10y)(x + 10y)x]

Expanding the terms:

(xX - 30xy - 10xy - 100y²)/(x² - 100y²)x

Combining like terms:

(xX - 40xy - 100y²)/(x² - 100y²)x

Therefore, the simplified expression is (xX - 40xy - 100y²)/(x² - 100y²)x.