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

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Answer 1 · 2018-03-11T12:12:27

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

#ax-bx-4a+4b#

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

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

Answer 2 · 2018-03-11T12:18:45

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

#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!