Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9x^2-84x+196\)
2. \(144s^{8}+168s^4y+49y^2\)
3. \(49y^2-224y+256\)
4. \(144a^{8}+264a^4+121\)
5. \(49b^{4}+14b^2y+1y^2\)
6. \(121a^{8}-176a^4p+64p^2\)
7. \(1-36b^{14}\)
8. \(225q^2-60q+4\)
9. \(-64a^2+81\)
10. \(36s^2+84s+49\)
11. \(36p^{8}-25\)
12. \(a^{12}-256y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9x^2-84x+196=(3x-14)^2\)
2. \(144s^{8}+168s^4y+49y^2=(12s^4+7y)^2\)
3. \(49y^2-224y+256=(7y-16)^2\)
4. \(144a^{8}+264a^4+121=(12a^4+11)^2\)
5. \(49b^{4}+14b^2y+1y^2=(7b^2+y)^2\)
6. \(121a^{8}-176a^4p+64p^2=(11a^4-8p)^2\)
7. \(1-36b^{14}=(1-6b^7)(1+6b^7)\)
8. \(225q^2-60q+4=(15q-2)^2\)
9. \(-64a^2+81=(9-8a)(9+8a)\)
10. \(36s^2+84s+49=(6s+7)^2\)
11. \(36p^{8}-25=(6p^4+5)(6p^4-5)\)
12. \(a^{12}-256y^2=(a^6+16y)(a^6-16y)\)