3 10
____ = ____
x-5 x+2
To simplify the expression (3/(x-5))/(10/(x+2)), we can use the concept of division of fractions.
Step 1: Invert the second fraction (10/(x+2)) and change the division to multiplication.
(3/(x-5)) * ((x+2)/10)
Step 2: Simplify the numerator and denominator separately.
Numerator: 3 * (x+2) = 3x + 6
Denominator: (x-5) * 10 = 10x - 50
Step 3: Write the simplified expression.
(3x + 6)/(10x - 50)
So, the simplified expression is (3x + 6)/(10x - 50).