Question

wykonaj działania

a (m+n)(m-2)+(m-n)(m+1)

b (3x-2)(3x-2y+1)-4x(2x-3y+1)

c 3(m+1)(n-2)+2(n+1)(m-2)

d x(x+1)(x+2)-x(x-1)(x-2)

Answer 1

(m+n)(m-2) + (m-n)(m+1) = m² - 2m + mn - 2n + m² + m - mn - n = 2m² - m - 3n

(3x-2)(3x-2y+1) - 4x(2x-3y+1) = 9x² - 6xy + 3m - 6x + 4y - 2 - 8x² + 12xy - 4x = x² + 6xy - 7x + 4y - 2

3(m+1)(n-2) + 2(n+1)(m-2) = 3(mn-2m+n-2) + 2(mn-2n+m-2) = 3mn - 6m + 3n - 6 + 2mn - 4n + 2m - 4 = 5mn - 4m - n - 10

x(x+1)(x+2) - x(x-1)(x-2) = x(x²+3m+2) - x(x²-3x+2) = x³ + 3x² + 2x - x³ + 3x² - 2x = 6x²