Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16b^{14}-169\)
2. \(36y^{12}-1\)
3. \(36p^{6}-132p^3y+121y^2\)
4. \(64a^{6}+208a^3+169\)
5. \(9x^2-4q^{14}\)
6. \(y^2+8y+16\)
7. \(36a^{10}+84a^5b+49b^2\)
8. \(121y^2-9\)
9. \(225s^2-1\)
10. \(49b^2-140b+100\)
11. \(-9a^2+169\)
12. \(a^2-14a+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16b^{14}-169=(4b^7+13)(4b^7-13)\)
2. \(36y^{12}-1=(6y^6+1)(6y^6-1)\)
3. \(36p^{6}-132p^3y+121y^2=(6p^3-11y)^2\)
4. \(64a^{6}+208a^3+169=(8a^3+13)^2\)
5. \(9x^2-4q^{14}=(3x-2q^7)(3x+2q^7)\)
6. \(y^2+8y+16=(y+4)^2\)
7. \(36a^{10}+84a^5b+49b^2=(6a^5+7b)^2\)
8. \(121y^2-9=(11y+3)(11y-3)\)
9. \(225s^2-1=(15s+1)(15s-1)\)
10. \(49b^2-140b+100=(7b-10)^2\)
11. \(-9a^2+169=(13-3a)(13+3a)\)
12. \(a^2-14a+49=(a-7)^2\)