Factor the polynomial. 8r^2 - 40rs + 50s^2

Holt McDougal Larson Algebra 1 Common Core Edition page 555 number 6

Asked by Dee Dee on 26 Mar 10:07

Last updated by anonymous on 26 Mar 22:58

Answered by CherieS on 26 Mar 22:58

8r^2 - 40rs + 50s^2

2 (4r^2-20rs+25s^2)

2 (4r^2 -20rs +25s^2)

2 (2r )(2r ) ( -5s)( -5s)

2 (2r-5s)(2r-5s)

Check

2 (2r-5s)(2r-5s)

2 (2r)(2r) (2r)(-5s) (-5s)(2r) (-5s)(-5s)

2 (2r^2) -10rs -10rs +25r^2

2(2r^2-20rs+25r^2)

4r^2-40rs+50r^2

Factor

2(2r-5)^2