Question

1)2a/y^2-2/a 2)1/y + 1/a

Answer 1

Ответ:

Приводим дроби к общему знаменателю .

$\dfrac{2a}{y^2}^{|a}-\dfrac{2}{a}^{|y^2}=\dfrac{2a\cdot a-2\cdot y^2}{y^2\cdot a}=\dfrac{2a^2-2y^2}{a\, y^2}=\dfrac{2(a^2-y^2)}{a\, y^2}=\dfrac{2(a-y)(a+y)}{a\, y^2}$

$\dfrac{1}{y}^{|a}+\dfrac{1}{a}^{|y}=\dfrac{a+y}{a\, y}$

Answer 2

1. To simplify the expression 2a/y^2 - 2/a, we can find a common denominator for the terms and then combine them.

The common denominator for the terms is y^2 * a. To achieve this, we need to multiply the first term, 2a, by y^2/y^2 and the second term, -2/a, by a/a. This gives us:

(2a * y^2)/(y^2 * a) - (2 * a^2)/(y^2 * a)

Now, we can simplify the expression:

(2a * y^2 - 2 * a^2)/(y^2 * a)

The numerator can be further simplified by factoring out the common factor of 2a:

2a(y^2 - a)/(y^2 * a)

Finally, we can cancel out the common factors:

2(y^2 - a)/y^2

2. To simplify the expression 1/y + 1/a, we need to find a common denominator for the terms and then add them.

The common denominator for the terms is y * a. To achieve this, we need to multiply the first term, 1/y, by a/a and the second term, 1/a, by y/y. This gives us:

(a/y) + (y/a)

Now, we can combine the terms:

(a^2 + y^2)/(y * a)

The expression cannot be further simplified because there are no common factors to cancel out. Therefore, the simplified form is (a^2 + y^2)/(y * a).