Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16s^2-56s+49\)
2. \(121s^{8}+22s^4+1\)
3. \(36p^{10}+132p^5+121\)
4. \(64q^{4}-49x^2\)
5. \(s^2-16s+64\)
6. \(49x^2-4s^{12}\)
7. \(36x^2+60x+25\)
8. \(64q^{14}-9\)
9. \(x^2+20x+100\)
10. \(36q^{10}+60q^5x+25x^2\)
11. \(-121b^2+25\)
12. \(36a^{4}-132a^2+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16s^2-56s+49=(4s-7)^2\)
2. \(121s^{8}+22s^4+1=(11s^4+1)^2\)
3. \(36p^{10}+132p^5+121=(6p^5+11)^2\)
4. \(64q^{4}-49x^2=(8q^2+7x)(8q^2-7x)\)
5. \(s^2-16s+64=(s-8)^2\)
6. \(49x^2-4s^{12}=(7x-2s^6)(7x+2s^6)\)
7. \(36x^2+60x+25=(6x+5)^2\)
8. \(64q^{14}-9=(8q^7+3)(8q^7-3)\)
9. \(x^2+20x+100=(x+10)^2\)
10. \(36q^{10}+60q^5x+25x^2=(6q^5+5x)^2\)
11. \(-121b^2+25=(5-11b)(5+11b)\)
12. \(36a^{4}-132a^2+121=(6a^2-11)^2\)