Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169x^{16}-225y^2\)
2. \(s^2-64\)
3. \(s^2-225\)
4. \(225q^{12}-16\)
5. \(100y^2-260y+169\)
6. \(144a^{10}-168a^5y+49y^2\)
7. \(36a^{4}-25b^2\)
8. \(y^2+4y+4\)
9. \(x^2+22x+121\)
10. \(4a^{12}-225\)
11. \(64-25p^{6}\)
12. \(y^2-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169x^{16}-225y^2=(13x^8+15y)(13x^8-15y)\)
2. \(s^2-64=(s-8)(s+8)\)
3. \(s^2-225=(s+15)(s-15)\)
4. \(225q^{12}-16=(15q^6+4)(15q^6-4)\)
5. \(100y^2-260y+169=(10y-13)^2\)
6. \(144a^{10}-168a^5y+49y^2=(12a^5-7y)^2\)
7. \(36a^{4}-25b^2=(6a^2+5b)(6a^2-5b)\)
8. \(y^2+4y+4=(y+2)^2\)
9. \(x^2+22x+121=(x+11)^2\)
10. \(4a^{12}-225=(2a^6+15)(2a^6-15)\)
11. \(64-25p^{6}=(8-5p^3)(8+5p^3)\)
12. \(y^2-81=(y+9)(y-9)\)