Тотожні перетворення раціональних дробів

Виберіть вирази , які є дробовими

Answer explanation

Дробовими є вирази: \(\frac{ас}{а+с}\) та \(\frac{х^2+у^2}{2ху}\), оскільки вони містять дробові числа.

• 4

• 0,2

• 6.2

Answer explanation

To find the value of the expression, substitute x=3.2 into the expression. The correct choice, 0.2, is obtained by evaluating the expression.

• 5

• -5

• 5 і -5

• 0

Answer explanation

The expression does not have meaning when the variable is equal to 5.

Answer explanation

To simplify the fraction, factor the numerator and denominator. The common factor of 5 can be canceled out, leaving 1 in the numerator. The simplified fraction is 1/(a+4), which matches the correct choice.

Answer explanation

The expression can be simplified to (3b-2)/(3x). This is the correct choice because it combines the fractions and simplifies the numerator and denominator.

Answer explanation

The correct choice is -8/(x-2) because when we simplify the expression, the terms cancel out and we are left with -8/(x-2).

• x+3y

Answer explanation

The expression can be simplified to 2/(x+3y). This is the correct choice because it matches the simplified form of the given expression.

• 12х⁶

Answer explanation

The product of fractions is obtained by multiplying the numerators and denominators separately. The correct choice is \(\frac{х^2}{3}\) because when we multiply \(\frac{2}{х^2}\) and \(\frac{х^4}{6}\), we get \(\frac{2 \cdot х^4}{х^2 \cdot 6} = \frac{х^2}{3}\).