Factor the polynomial completely. -4s^3t^3 + 24s^2t^2 - 36st

Holt McDougal Larson Algebra 1 Common Core Edition page 552 number 40

Asked by Dee Dee on 26 Mar 10:04

Last updated by anonymous on 27 Mar 12:31

Answered by CherieS on 27 Mar 12:31

-4s^3t^3 + 24s^2t^2 - 36st

-4st(s^t^2 +6st +9)

-4st (st )(st ) ( -3)( -3)

-4st (st-3)(st-3)

Check:

-4st (st-3)(st-3)

-4st (st)(st) (st)(-3) (-3)(st) (-3)(-3)

-4st ( s^2t^2 -3st -3st +9)

-4sr(s^2t^2 -6st +9)

-4st(s^2t^2-6st+9)

Factor

=-4st (st-3)(st-3)=-4st(st-3)^2