Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225-121s^{4}\)
2. \(225s^{16}-64\)
3. \(p^2-18p+81\)
4. \(169q^{6}+234q^3y+81y^2\)
5. \(225y^2-169q^{14}\)
6. \(36p^2+84p+49\)
7. \(9q^{8}+6q^4s+1s^2\)
8. \(b^2+16b+64\)
9. \(100y^{4}-260y^2+169\)
10. \(a^2-36\)
11. \(81p^{10}-100y^2\)
12. \(9-16x^{4}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225-121s^{4}=(15-11s^2)(15+11s^2)\)
2. \(225s^{16}-64=(15s^8+8)(15s^8-8)\)
3. \(p^2-18p+81=(p-9)^2\)
4. \(169q^{6}+234q^3y+81y^2=(13q^3+9y)^2\)
5. \(225y^2-169q^{14}=(15y-13q^7)(15y+13q^7)\)
6. \(36p^2+84p+49=(6p+7)^2\)
7. \(9q^{8}+6q^4s+1s^2=(3q^4+s)^2\)
8. \(b^2+16b+64=(b+8)^2\)
9. \(100y^{4}-260y^2+169=(10y^2-13)^2\)
10. \(a^2-36=(a+6)(a-6)\)
11. \(81p^{10}-100y^2=(9p^5+10y)(9p^5-10y)\)
12. \(9-16x^{4}=(3-4x^2)(3+4x^2)\)