Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16x^2-225b^{8}\)
2. \(64x^2-112x+49\)
3. \(p^2-10p+25\)
4. \(225a^{14}-4p^2\)
5. \(100q^{14}-169\)
6. \(81p^2-234p+169\)
7. \(4s^{6}+28s^3+49\)
8. \(121y^2-144\)
9. \(a^2-121\)
10. \(-16y^2+81\)
11. \(q^2+28q+196\)
12. \(p^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16x^2-225b^{8}=(4x-15b^4)(4x+15b^4)\)
2. \(64x^2-112x+49=(8x-7)^2\)
3. \(p^2-10p+25=(p-5)^2\)
4. \(225a^{14}-4p^2=(15a^7+2p)(15a^7-2p)\)
5. \(100q^{14}-169=(10q^7+13)(10q^7-13)\)
6. \(81p^2-234p+169=(9p-13)^2\)
7. \(4s^{6}+28s^3+49=(2s^3+7)^2\)
8. \(121y^2-144=(11y+12)(11y-12)\)
9. \(a^2-121=(a-11)(a+11)\)
10. \(-16y^2+81=(9-4y)(9+4y)\)
11. \(q^2+28q+196=(q+14)^2\)
12. \(p^2-144=(p-12)(p+12)\)