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(Answer) MATH114N – Week 3 Assignment: Factoring Special Products

QUESTIONS

Question 1:

Factor: 49d2n − 25n.

Question 2:

Factor: 4u2v + 16uv2+16v3

Question 3

Factor: 125r2s + 400rs2 + 320s3

Question 4:

Factor (if possible): 25+64w2.

If the expression cannot be factored, enter it in its current form as the answer.

Question 5

Factor: 27mw3−64m.

Question 6:

Factor: 64cz3+27cx3.

Question 7:

Factor: 9p2+6p+1−q2.

Question 8

Factor: 64p2−96p+36−16q2.

Hint: Begin by factoring out the GCF.

Question 9

Factor: 32a2+50q2.

Question 10:

Factor: 18n2−2.

Question 11:

Factor: 49q2 + 70q + 25.

Question 12:

Factor: 245m2n – 210mn2 + 45n3.

Question 13

Factor: 49x2−42x+9−y2.

Question 14

Factor: 25c2+70c+49−9d2.

Question 15

Factor: 125x3−216m3.

Question 16

Factor: 500u3 + 4x3.

ANSWERS:

Question 1:

Factor: 49d2n − 25n.

Answer: n(7d + 5) (7d – 5)

Question 2:

Factor: 4u2v + 16uv2+16v3

Answer: 4v(u+2v)2

Question 3

Factor: 125r2s + 400rs2 + 320s3

Answer 5s(5r + 8s)2

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