Question

(3x-x²)²-x²(x-5)(x+5)+2

Answer 1

Решение смотри на фотографии

Answer 2

To simplify the expression (3x - x²)² - x²(x - 5)(x + 5) + 2, let's follow the order of operations and perform the necessary calculations step-by-step:

Step 1: Expand the squared term (3x - x²)² (3x - x²)² = (3x - x²)(3x - x²) = 9x² - 3x^3 - 3x^3 + x^4 = x^4 - 6x^3 + 9x²

Step 2: Expand the term - x²(x - 5)(x + 5)

• x²(x - 5)(x + 5) = - x²(x² + 5x - 5x - 25) = - x²(x² - 25) = - x⁴ + 25x²

Now, the expression becomes: x^4 - 6x^3 + 9x² - x⁴ + 25x² + 2

Step 3: Combine like terms: x^4 - x^4 = 0 (x^4 and -x^4 cancel each other out) 9x² + 25x² = 34x²

Final simplified expression:

• 6x^3 + 34x² + 2

So, the simplified form of the expression (3x - x²)² - x²(x - 5)(x + 5) + 2 is -6x^3 + 34x² + 2.