Factor the expression. 10(a - 6) - 3a(a - 6)

Holt McDougal Larson Algebra 1 Common Core Edition page 552 number 6

Asked by Dee Dee on 26 Mar 09:57

Last updated by anonymous on 27 Mar 13:10

Answered by CherieS on 27 Mar 13:10

10(a - 6) - 3a(a - 6)

10(a) (10)(-6) -3a(a) -3a(-6)

10a -60 -3a2 +18a

-3 a2+28 a-60

Factor:

-3 a2+28 a-60

-1(3a2 +28a +60)

-1(3a )(a ) ( -10)( -6)

-1(a-6)(3a-10)

Factor:

-1(3a-10)(a-6)

Check:

-1(3a-10)(a-6)

-1(3a)(a) (3a)(-6) (-10)(a) (-6)(-10)

-1 3a2 -18a -10a +60

-1(3a2-28a+60)

-(a-6) (3 a-10)