Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144p^2-169\)
2. \(100y^{6}-260y^3+169\)
3. \(64y^2-225\)
4. \(196-169s^{12}\)
5. \(9y^{10}-49\)
6. \(-169b^2+121\)
7. \(196p^{4}+364p^2y+169y^2\)
8. \(225x^{16}-49\)
9. \(q^2+8q+16\)
10. \(144p^{4}-169\)
11. \(b^2+16b+64\)
12. \(144q^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144p^2-169=(12p+13)(12p-13)\)
2. \(100y^{6}-260y^3+169=(10y^3-13)^2\)
3. \(64y^2-225=(8y+15)(8y-15)\)
4. \(196-169s^{12}=(14-13s^6)(14+13s^6)\)
5. \(9y^{10}-49=(3y^5+7)(3y^5-7)\)
6. \(-169b^2+121=(11-13b)(11+13b)\)
7. \(196p^{4}+364p^2y+169y^2=(14p^2+13y)^2\)
8. \(225x^{16}-49=(15x^8+7)(15x^8-7)\)
9. \(q^2+8q+16=(q+4)^2\)
10. \(144p^{4}-169=(12p^2+13)(12p^2-13)\)
11. \(b^2+16b+64=(b+8)^2\)
12. \(144q^2-121=(12q+11)(12q-11)\)