Question

Which of the following is equivalent to 30p^4q^3r + 42p^2r - 18p^2q^2r when it is completely factored?

A. 3pr(10p^3q^3 + 12p - 9pq^2)
B. 6(5p^4q^3r + 7p^2r - 3p^2q^2r)
C. 6p^2q^2r(5p^2q + 4)
D. 6p^2r(5p^2q^3 + 7 - 3q^2)

Answer 1

The answer is: [D]: " 6p²r (5p²q³ + 7 − 3q²) " .
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Note:
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Given:
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30p⁴q³r + 42p²r - 18p²2q²r ;

we can factor out a

"6p²r" ;
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to get:

" 6p²r (5p²q³ + 7 − 3q²) " ; which is: "Answer choice: [D]" .
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Answer 2

30p^4q^3r + 42p^2r - 18p^2q^2r
= 6p^2r (5p^2q^3 + 7 - 3q^2)

answer
D. 6p^2r(5p^2q^3 + 7 - 3q^2)