Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-25\)
2. \(-144q^2+25\)
3. \(121-36a^{14}\)
4. \(9x^2-84x+196\)
5. \(a^2-9\)
6. \(9s^{4}-48s^2+64\)
7. \(49b^{4}-84b^2p+36p^2\)
8. \(16x^{6}-49\)
9. \(100p^{8}+180p^4+81\)
10. \(a^2-14a+49\)
11. \(169b^{12}-1\)
12. \(256a^{6}-480a^3s+225s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-25=(b+5)(b-5)\)
2. \(-144q^2+25=(5-12q)(5+12q)\)
3. \(121-36a^{14}=(11-6a^7)(11+6a^7)\)
4. \(9x^2-84x+196=(3x-14)^2\)
5. \(a^2-9=(a+3)(a-3)\)
6. \(9s^{4}-48s^2+64=(3s^2-8)^2\)
7. \(49b^{4}-84b^2p+36p^2=(7b^2-6p)^2\)
8. \(16x^{6}-49=(4x^3+7)(4x^3-7)\)
9. \(100p^{8}+180p^4+81=(10p^4+9)^2\)
10. \(a^2-14a+49=(a-7)^2\)
11. \(169b^{12}-1=(13b^6+1)(13b^6-1)\)
12. \(256a^{6}-480a^3s+225s^2=(16a^3-15s)^2\)