Question

Помогите
Преобразуйте многочлен
(k-m)(k+m)
(3y+5y)(3-5y)
(1/2m²-n³)(1/2m²+n³)
Представьте в виде произведения
m²-n²
c²-81
0,64x⁶-9y⁸
Решите уравнение
(x-1)(x+1)-(x-3)x=2
x²-25=0

Answer 1

$(k - m)(k + m) = {k}^{2} - {m}^{2}$

$(3y+5y)(3-5y) = 9y - 15 {y}^{2} + 15y - 25 {y}^{2} = - 40 {y}^{2} + 24 {y} = 24 {y}^{2} - 40y$

$( \frac{1}{2} m²-n³)( \frac{1}{2} m²+n³) = \frac{1}{4} m ^{4} - n^{9}$

$m²-n² = (m - n)(m + n)$

${c}^{2} - 81 = (c - 9)(c + 9)$

$0,64x⁶-9y⁸ = (0,8x^{3} - 3 {y}^{4} )(0,8x^{3} + 3 {y}^{4} )$

$(x-1)(x+1)-(x-3)x=2 \\ x ^{2} - 1 - {x}^{2} + 3x = 2 \\ 3x = 3 \\ x = 1$

$x²-25=0 \\ (x - 5)(x + 5) = 0 \\ x_1 = 5 \\ x_2= - 5$