Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225x^2-p^{14}\)
2. \(9b^2-12b+4\)
3. \(169s^2-49\)
4. \(196s^{8}+28s^4+1\)
5. \(1-36q^{14}\)
6. \(q^2+2q+1\)
7. \(100p^{16}-1\)
8. \(a^2-12a+36\)
9. \(81x^{4}+234x^2+169\)
10. \(-16y^2+49\)
11. \(36y^2-25p^{14}\)
12. \(-16x^2+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225x^2-p^{14}=(15x-p^7)(15x+p^7)\)
2. \(9b^2-12b+4=(3b-2)^2\)
3. \(169s^2-49=(13s+7)(13s-7)\)
4. \(196s^{8}+28s^4+1=(14s^4+1)^2\)
5. \(1-36q^{14}=(1-6q^7)(1+6q^7)\)
6. \(q^2+2q+1=(q+1)^2\)
7. \(100p^{16}-1=(10p^8+1)(10p^8-1)\)
8. \(a^2-12a+36=(a-6)^2\)
9. \(81x^{4}+234x^2+169=(9x^2+13)^2\)
10. \(-16y^2+49=(7-4y)(7+4y)\)
11. \(36y^2-25p^{14}=(6y-5p^7)(6y+5p^7)\)
12. \(-16x^2+1=(1-4x)(1+4x)\)