Pytanie : 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)= ?
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a) (m + n)(m - 2) + (m - n)(m + 1) = m² - 2m +mn - 2n + m² + m - mn - n = 2m² - m - 3n
b) (3x - 2)(3x - 2y + 1) - 4x(2x - 3y + 1) = 9x² - 6xy + 3x - 6x + 4y - 2 - 8x² +12xy - 4x = x² + 6xy - 7x + 4y
c) 3(m + 1)(n - 2) + 2(n + 1)(m - 2) = 3mn - 6m + 3n - 6 + 2mn - 4n + 2m - 4 = 5mn - 4m - n - 10
d) x(x + 1)(x + 2) - x(x - 1)(x - 2) = x³ + 2x² + x² + 2x - x³ + 2x² + x² - 2x = 6x²