^{2}

^{2}-6w+w-6

^{2}-5w-6

^{2 }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

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.

Tutors, sign in to answer this question.

Robert S. | Robert Math PhysicsRobert Math Physics

Hi

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

multiply w with the expression inside the perentheses w(w-6) = w*w -6w w*w=w^{2}

the total expression becomes w^{2}-6w+w-6

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

now the expression is w^{2}-5w-6

the question now is what factors will give a match for the middle term of -5 the factor for the w^{2
}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

therefore (w-6)(w+1) is the answer

Hi Taylor;

w(w-6)+w-6

Let's distribute the w...

w^{2}-6w+w-6

Let's combine like terms...

w^{2}-5w-6

For the FOIL...

FIRST must be (w)(w)=w^{2}

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)=w^{2}

OUTER...(w)(1)=1w=w

INNER...(-6)(w)=-6w

LAST..(-6)(1)=-6

w^{2}+w-6w-6

w^{2}-5w-6

w(w-6) + 1(w-6)

Factor out the w-6 from both terms:

= (w-6)(w+1)

Tom D. | Very patient Math Expert who likes to teachVery patient Math Expert who likes to te...

Write it out slowly and combine like terms (ALWAYS a good idea)

w(w-6)+w-6 = w^2-6w+w-6 = w^2 -5w -6 = (w-6)(w+1)

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## Comments

this expression out completelyfactor