Question

преобразуйте в многочлен

Answer 1

$[tex](2x-3,1y)^{3} =(2x)^{3}-3(2x)^{2}*3,1y+3*2x*(3,1y)^{2}-(3,1y)^{3} =\\ =8x^{3} -37,2x^2y+57,66xy^2-29,791y^3;$[/tex]

Answer 2

1) (2x - 3,1y)³ = (2x)³ - 3 * (2x)² * 3,1y + 3 * 2x * (3,1y)² - (3,1y)³ =
= 8x³ - 37,2x²y + 57,66xy² - 29,791y³

2) (1,5x² + 2,2y)³ = (1,5x²)³ + 3 * (1,5x²)² * 2,2y + 3 * 1,5x² * (2,2y)² + (2,2y)³ =
= 3,375x⁶ + 14,85x⁴y + 21,78x²y² + 10,648y³

3) (2a² - 3b²)³ = (2a²)³ - 3 * (2a²)² * 3b² + 3 * 2a² * (3b²)² - (3b²)³ =
= 8a⁶ - 36a⁴b² + 54a²b⁴ - 27b⁶

4) (0,8x + 1,3)³ = (0,8x)³ + 3 * (0,8x)² * 1,3 + 3 * 0,8x * 1,3² + 1,3³ =
= 0,512x³ + 2,496x² + 4,056x + 2,197