Question

Спростити вырази: a) (2+ 3x)² =б) (а² -а+1)(а+1)= B) (9m³ -5 p²n)² = г) (7n+ – 6m)(7n+ + 6m)=| д) (2+m)(2 - m)(m² + 4)=(4 - m² )(4 + m² ) = e) (a+3)²-(a+2)²=(a+3-а-2)(a+3+a+2)=БУДЬЛАСКА ДУЖЕ ТРЕБА ​

Answer 1

Ответ:

Б) (а² -а+1)(а+1)= a³+1³= a³+1
В) (9m³ -5 p²n)² = (9m³-5np²)²=81m⁶-90m³np²+25n²p⁴
Г) (7n-6m) * (7n + 6m) = (7n)²-(6m)²=49n²-(6m)²=49n²-36m²
Д) (2+m)(2 - m)(m² + 4)=(4 - m² )(4 + m² )
(4-m²)(m²+4)=(4-m²)(4+m²)
(4-m²)(4+m²)=(4-m²)(4+m²)
(4-m²)(4+m²)=16-m⁴
16-m⁴=16-m⁴
m Є R
E) (a+3)²-(a+2)²=(a+3-а-2)(a+3+a+2)
   (a+3)²-(a+2)²=(3-2)(a+3+a+2)
   a²+6a+9-(a+2)²=(3-2)(a+3+a+2)

   a²+6a+9-(a²+4a+4)=(3-2)(a+3+a+2)
   a²+6a+9-(a²+4a+4)=1(a+3+a+2)
   a²+6a+9-(a²+4a+4)=a+3+a+2
   a²+6a+9-a²-4a-4=a+3+a+2
   a²+6a+9-a²-4a-4=2a+3+2
   a²+6a+9-a²-4a-4=2a+5
   6a+9-4a-4=2a+5
   2a+9-4=2a+5
   2a+5=2a+5
   a Є R

Answer 2

a) (2 + 3x)² = (2 + 3x)(2 + 3x) = 4 + 12x + 9x² [[1]] б) (a² - a + 1)(a + 1) = a³ + a² - a² - a + a + 1 = a³ + 1 [[2]] B) (9m³ - 5 + p²n)² = (9m³ - 5 + p²n)(9m³ - 5 + p²n) = 81m⁶ - 90m³ + 25 - 10p²nm³ + 10p²n + p⁴n² [[3]] г) (7n - 6m)(7n + 6m) = 49n² - 36m² [[4]] д) (2 + m)(2 - m)(m² + 4) = (4 - m²)(m² + 4) = 4m² + 16 - m⁴ - 4m² = 16 - m⁴ [[5]] e) (a + 3)² - (a + 2)² = (a + 3 - a - 2)(a + 3 + a + 2) = (1)(2a + 5) = 2a + 5 [[6]]

a) (2 + 3x)² = 4 + 12x + 9x² б) (a² - a + 1)(a + 1) = a³ + 1 B) (9m³ - 5 + p²n)² = 81m⁶ - 90m³ + 25 - 10p²nm³ + 10p²n + p⁴n² г) (7n - 6m)(7n + 6m) = 49n² - 36m² д) (2 + m)(2 - m)(m² + 4) = 16 - m⁴ e) (a + 3)² - (a + 2)² = 2a + 5