How do you factor #ax – bx – 4a + 4b#?

2 Answers
Mar 11, 2018

Answer:

#(x-4)(a-b)#

Explanation:

#ax-bx-4a+4b#

#=> x(a-b)-4(a-b)#

#=> (x-4)(a-b)#

Mar 11, 2018

Answer:

#(a-b)(x-4)#

Explanation:

#ax-bx-4a+4b#

Regroup the terms

#ax-4a+4b-bx#
#(ax-4a)+(4b-bx)#
#(ax-4a)-(bx-4b)#

Factorise #a# and #b#,

#a(x-4)-b(x-4)#

Factorise #(x-4)#,

#(a-b)(x-4)#

There you have it!