What is the completely factored form of this expression?

y2 − 12y + 32

a.
(y + 4)(y + 8)
b.
(y − 4)(y − 8)
c.
(y + 18)(y + 2)
d.
(y − 18)(y − 2)

B

Step-by-step explanation:

Given

y² - 12y + 32

Consider the factors of the constant term (+ 32) which sum to give the coefficient of the x- term (- 12)

The factors are - 4 and - 8, since

- 4 × - 8 = + 32 and - 4 - 8 = - 12, thus

y² - 12y + 32 = (x - 4)(x - 8) → B

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