Question

(5x^2/x-3)^3*(x^2-6x+9/5x^2)^2-x^2 помогите решить

Answer 1

= 5х²×(х-3)-х²=5х³-16х²
Ответ:  5х³-16х²

Answer 2

Sure, let's simplify the expression step by step:

1. Simplify the first part of the expression: (5x^2 / (x - 3))^3

To simplify this, we'll raise both the numerator and denominator to the power of 3: (5x^2)^3 / (x - 3)^3

Simplify the numerator: 125x^6 / (x - 3)^3

2. Simplify the second part of the expression: (x^2 - 6x + 9 / 5x^2)^2

To simplify this, we'll square both the numerator and denominator: (x^2 - 6x + 9)^2 / (5x^2)^2

Simplify the numerator: (x^2 - 6x + 9)^2 = (x - 3)^2

Simplify the denominator: (5x^2)^2 = 25x^4

The second part becomes (x - 3)^2 / 25x^4

3. Combine both parts of the expression:

(125x^6 / (x - 3)^3) * ((x - 3)^2 / 25x^4) - x^2

Now, cancel out common factors in the numerator and denominator:

125x^6 / 25x^4 - x^2

Simplify the fractions:

5x^2 - x^2

Finally, combine like terms:

4x^2

The simplified expression is 4x^2.