Question

разложите на множители (3-5) а) xy+3y+xz+3z; б)25-c^2; в) ab^2-2abc+ac^2

Answer 1

а) xy + 3y + xz + 3z = y( x + 3 ) + z( x + 3 ) = ( x + 3 )( y + z )
в) аb^2 - 2abc + ac^2 = a( b^2 - 2bc + c^2 ) = a( b - c )( b - c )

Answer 2

a) xy+3y+xz+3z = y(x+3) + z(x+3) = (y+z)(x+3)
б) 25-c^2 = (5-c)(5+c)
в) ab^2-2abc+ac^2 = a(b^2 - 2bc + c^2) = a(b-c)^2 = a(b-c)(b-c)