Напишите выражение в виде многочлена
1) [tex](3x^{2} - 4y)^{3} [/tex]
2) [tex](2a + b^{2} )^{3} [/tex]
3) [tex](4m^{3} - n^{2} )^{2} [/tex]
1) [tex](3x^{2} - 4y)^{3} [/tex]
2) [tex](2a + b^{2} )^{3} [/tex]
3) [tex](4m^{3} - n^{2} )^{2} [/tex]
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(a-b)³ = a³ - 3a²b + 3 ab² - b³
(a+b)³ = a³ + 3a²b + 3ab² + b³
(a-b)² = a² - 2ab + b²
1) (3x² - 4y)³ = (3x²)³ - 3·(3x²)²·4y + 3·3x²·(4y)² - (4y)³=
= 27x⁶- 108x⁴y + 144x²y² - 64y³
2) (2a + b²)³ = (2a)³ + 3·(2a)²·b² + 3·2a·(b²)² + (b²)³ =
= 8a³ + 12a²b² + 6ab⁴ + b⁶
3) (4m³ - n²)² = (4m³)² - 2 · 4m³ · n² + (n²)² = 16m⁶ - 8m³n² + n⁴