Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36p^2-169\)
2. \(144q^{4}-264q^2+121\)
3. \(16y^{8}-56y^4+49\)
4. \(121a^{10}-352a^5+256\)
5. \(64a^{14}-9q^2\)
6. \(196a^{4}+364a^2y+169y^2\)
7. \(81b^2+252b+196\)
8. \(p^2-100\)
9. \(x^2+28x+196\)
10. \(196q^2-364q+169\)
11. \(-256p^2+9\)
12. \(y^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36p^2-169=(6p+13)(6p-13)\)
2. \(144q^{4}-264q^2+121=(12q^2-11)^2\)
3. \(16y^{8}-56y^4+49=(4y^4-7)^2\)
4. \(121a^{10}-352a^5+256=(11a^5-16)^2\)
5. \(64a^{14}-9q^2=(8a^7+3q)(8a^7-3q)\)
6. \(196a^{4}+364a^2y+169y^2=(14a^2+13y)^2\)
7. \(81b^2+252b+196=(9b+14)^2\)
8. \(p^2-100=(p+10)(p-10)\)
9. \(x^2+28x+196=(x+14)^2\)
10. \(196q^2-364q+169=(14q-13)^2\)
11. \(-256p^2+9=(3-16p)(3+16p)\)
12. \(y^2-121=(y+11)(y-11)\)