Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9y^2+24y+16\)
2. \(81x^{4}-234x^2+169\)
3. \(q^2-9\)
4. \(-169q^2+16\)
5. \(x^2-18x+81\)
6. \(49b^2-169\)
7. \(a^2+28a+196\)
8. \(25q^{8}-40q^4+16\)
9. \(64a^2+176a+121\)
10. \(144a^{10}-169q^2\)
11. \(169q^{10}-156q^5y+36y^2\)
12. \(36y^2+132y+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9y^2+24y+16=(3y+4)^2\)
2. \(81x^{4}-234x^2+169=(9x^2-13)^2\)
3. \(q^2-9=(q-3)(q+3)\)
4. \(-169q^2+16=(4-13q)(4+13q)\)
5. \(x^2-18x+81=(x-9)^2\)
6. \(49b^2-169=(7b+13)(7b-13)\)
7. \(a^2+28a+196=(a+14)^2\)
8. \(25q^{8}-40q^4+16=(5q^4-4)^2\)
9. \(64a^2+176a+121=(8a+11)^2\)
10. \(144a^{10}-169q^2=(12a^5+13q)(12a^5-13q)\)
11. \(169q^{10}-156q^5y+36y^2=(13q^5-6y)^2\)
12. \(36y^2+132y+121=(6y+11)^2\)