Question

X+3/y-1 * (2x/y-2 + 8/y-2)

Answer 1

Объяснение:

х+3/у-1 × (2х/у-2 + 8/у-2)

1) 2х/у-2 + 8/у-2= 2х+8/у-2

2) х+3/у-1 × 2х+8/у-2=2х²+8х+6х+24/у²-2у-у²+2=2х²+14х+24/2-2у=2(х²+7х+12)/2(1-у)=х²+7х+12/1-у

Answer 2

To simplify the expression, let's first find a common denominator for the fractions:

The common denominator for the fractions y-1, y-2, and y is y(y-1)(y-2).

Now, let's rewrite the expression using this common denominator:

X + 3/y-1 * (2x/y-2 + 8/y-2)

= X + 3 * [(2x(y) + 8(y)) / y(y-1)(y-2)]

Now, let's simplify the expression further:

= X + [6x + 24] / y(y-1)(y-2)

The final simplified expression is:

X + (6x + 24) / y(y-1)(y-2)