Question

(3z-4p)²-(z-3p)(2z+4p) преобразуйте в многочлен стандартного вида​

Answer 1

Ответ:

Объяснение:

9z²-24zp+16p²-(2z²+4zp-6zp-12p²)= 9z²-24zp+16p²-2z²-4zp+6zp+12p²= 7z²-22zp+28p²

Answer 2

Let's begin by expanding the expression:

(3z - 4p)² - (z - 3p)(2z + 4p) = (3z - 4p)(3z - 4p) - (z - 3p)(2z + 4p) = 9z² - 24zp + 16p² - (2z² - 2zp + 12zp - 12p²) = 9z² - 24zp + 16p² - 2z² + 2zp - 12zp + 12p² = 7z² - 34zp + 28p²

Therefore, the expression (3z - 4p)² - (z - 3p)(2z + 4p) can be simplified to the standard form polynomial 7z² - 34zp + 28p².