Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-25\)
2. \(81x^{4}+234x^2+169\)
3. \(100q^{6}-121\)
4. \(144y^2+312y+169\)
5. \(64q^{4}+16q^2+1\)
6. \(a^2-4a+4\)
7. \(-49q^2+225\)
8. \(y^2-64\)
9. \(121x^{14}-169\)
10. \(4x^{12}-225\)
11. \(169s^{14}-25\)
12. \(100q^2-260q+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-25=(y+5)(y-5)\)
2. \(81x^{4}+234x^2+169=(9x^2+13)^2\)
3. \(100q^{6}-121=(10q^3+11)(10q^3-11)\)
4. \(144y^2+312y+169=(12y+13)^2\)
5. \(64q^{4}+16q^2+1=(8q^2+1)^2\)
6. \(a^2-4a+4=(a-2)^2\)
7. \(-49q^2+225=(15-7q)(15+7q)\)
8. \(y^2-64=(y-8)(y+8)\)
9. \(121x^{14}-169=(11x^7+13)(11x^7-13)\)
10. \(4x^{12}-225=(2x^6+15)(2x^6-15)\)
11. \(169s^{14}-25=(13s^7+5)(13s^7-5)\)
12. \(100q^2-260q+169=(10q-13)^2\)