Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-24y+144\)
2. \(225q^{8}+420q^4+196\)
3. \(144a^{14}-49\)
4. \(y^2-169\)
5. \(225s^{8}+210s^4+49\)
6. \(q^2-121\)
7. \(-25q^2+144\)
8. \(81y^2-234y+169\)
9. \(x^2-9\)
10. \(100-9b^{6}\)
11. \(4a^{4}+12a^2+9\)
12. \(x^2+14x+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-24y+144=(y-12)^2\)
2. \(225q^{8}+420q^4+196=(15q^4+14)^2\)
3. \(144a^{14}-49=(12a^7+7)(12a^7-7)\)
4. \(y^2-169=(y+13)(y-13)\)
5. \(225s^{8}+210s^4+49=(15s^4+7)^2\)
6. \(q^2-121=(q-11)(q+11)\)
7. \(-25q^2+144=(12-5q)(12+5q)\)
8. \(81y^2-234y+169=(9y-13)^2\)
9. \(x^2-9=(x+3)(x-3)\)
10. \(100-9b^{6}=(10-3b^3)(10+3b^3)\)
11. \(4a^{4}+12a^2+9=(2a^2+3)^2\)
12. \(x^2+14x+49=(x+7)^2\)