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# How do I factor this expression out completely: w(w-6)+w-6

I'm having trouble understanding how to factor out this equation.  I've factored out other equations but this one just got me in a blind spot.

Hi
Question factor w(w-6) +w -6

multiply w with the expression inside the perentheses w(w-6) = w*w -6w w*w=w2

the total expression becomes w2-6w+w-6

combine like terms -6w + w = -5w

now the expression is w2-5w-6

the question now is what factors will give a match for the middle term of -5 the factor for the w2 is 1 the factors for the -6 term is 6 -1, 3 -2, -2 3, -6 1 the last giving -5 which matches the middle term

Hi Taylor;

w(w-6)+w-6
Let's distribute the w...
w2-6w+w-6
Let's combine like terms...
w2-5w-6
For the FOIL...
FIRST must be (w)(w)=w2
OUTER and INNER must add-up to be -5w
LAST must be (6)(1) or (1)(6) or (2)(3) or (3)(2) and one number must be negative to produce the result of -6.
(w-6)(w+1)
Let's FOIL...
FIRST...(w)(w)=w2
OUTER...(w)(1)=1w=w
INNER...(-6)(w)=-6w
LAST..(-6)(1)=-6
w2+w-6w-6
w2-5w-6