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SAT® Subject Test in Math 1 & 2

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Moderate

Factor Completely

SATSTM-WLOVY7

If:

$${x}^{2}(x-y)^{3}-{y}^{2}(x-y)^{3}=(x-y)^{w}(x+y)$$

...then what is the value of $w$?

A

$2$

B

$3$

C

$4$

D

$5$

E

$6$