Question

разложите на множители:

 

а) r^3s^4+r^4s^3=

б) 20a^3x-15a^4x^2=

в)x^2-9=

г) 1-25y^2=

д) 3x-2x^2+3y-2xy=

е)20z^2k+2z-5k+1=

Answer 1

$a)r^3s^4+r^4s^3=r^3s^3(s+r)\ b)20a^3x-15a^4x^2=5a^3x(4-3x)\ c)x^2-9=(x-3)(x+3)\ d)1-(5y)^2=(1-5y)(1+5y)\ e)3x-2x^2+3y-2xy=x(3-2x)+y(3-2x)=(x+y)(3-2x)\ g)20z^2k+2z-5k+1=5k(4z^2-1)+2z+1=5k(2z-1)(2z+1)+2z+1=(5k(2z-1))(2z+1)$