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Factor Completely p6+q24r24p^{6}+q^{24} r^{24} A) (p2+q8r8)(p4p2q8r8+q16r16)\left(p^{2}+q^{8} r^{8}\right)\left(p^{4}-p^{2} q^{8} r^{8}+q^{16} r^{16}\right) B) (p+q4r4)(pq4r4)(p4p2q8r8+q16r16)\left(p+q^{4} r^{4}\right)\left(p-q^{4} r^{4}\right)\left(p^{4}-p^{2} q^{8} r^{8}+q^{16} r^{16}\right)

Question 301

Multiple Choice

Factor completely. If the polynomial cannot be factored, write "prime."
- p6+q24r24p^{6}+q^{24} r^{24}


A) (p2+q8r8) (p4p2q8r8+q16r16) \left(p^{2}+q^{8} r^{8}\right) \left(p^{4}-p^{2} q^{8} r^{8}+q^{16} r^{16}\right)
B) (p+q4r4) (pq4r4) (p4p2q8r8+q16r16) \left(p+q^{4} r^{4}\right) \left(p-q^{4} r^{4}\right) \left(p^{4}-p^{2} q^{8} r^{8}+q^{16} r^{16}\right)
C) (p3+q12r12) (p3q12r12) \left(p^{3}+q^{12} r^{12}\right) \left(p^{3}-q^{12} r^{12}\right)
D) (p+q4r4) (pq4r4) (p2+pq4r4+q8r8) (p2q4r4+q8r8) \left(p+q^{4} r^{4}\right) \left(p-q^{4} r^{4}\right) \left(p^{2}+p q^{4} r^{4}+q^{8} r^{8}\right) \left(p^{2}-q^{4} r^{4}+q^{8} r^{8}\right)

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