Factor the polynimial. 45r^2 - 120rs + 80s^2

Holt McDougal Larson Algebra 1 Common Core Edition page 545 number 20

Asked by Dee Dee on 26 Mar 09:44

Last updated by anonymous on 26 Mar 23:25

Answered by CherieS on 26 Mar 23:25

45r^2 - 120rs + 80s^2

5(9r^2 -24rs +16s^2)

5 (3r )(3r ) ( -4s)( -4s)

5 (3r-4s)(3r-4s)

Check

5 (3r-4s)(3r-4s)

5 (3r)(3r) (3r)(-4s) (-4s)(3r) (-4s)(-4s)

5 9r^2 -12rs -12rs +16s^2

5 (9r^2-24rs+16s^2)

45r^2-120rs+80s^2

Factor:

5 (3r-4s)(3r-4s)=5(3r-4s)^2