Question

Разложите на множители :
а) а^3( a - b) - b^3( a - b )
в) p^3( p - 1 ) - 8( p - 1 )

а) 2x^3 - 2xy^2 - 6x^2 + 6y^2
в) 36x^3 - 144x - 36x^2 + 144

Answer 1

а) а^3( a - b) - b^3( a - b ) = (a-b)(a³ -b³)

в) p^3( p - 1 ) - 8( p - 1 )= (p-1)(p³ -8)

a) 2x³ -2xy² -6x² +6y²= 2x(x²-y²) -6(x²-y²) =(2x-6)(x²-y²) =3(x-2)(x²-y²)

36x³ -144x-36x² +144=36x³ -36x² =36x²(x -1)