Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169x^{8}+130x^4+25\)
2. \(9x^{10}+30x^5+25\)
3. \(-100p^2+121\)
4. \(a^2+30a+225\)
5. \(-100q^2+169\)
6. \(121-225p^{12}\)
7. \(25b^2-70b+49\)
8. \(256x^{12}-49\)
9. \(4x^2-225\)
10. \(81-16q^{14}\)
11. \(y^2+6y+9\)
12. \(p^2+10p+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169x^{8}+130x^4+25=(13x^4+5)^2\)
2. \(9x^{10}+30x^5+25=(3x^5+5)^2\)
3. \(-100p^2+121=(11-10p)(11+10p)\)
4. \(a^2+30a+225=(a+15)^2\)
5. \(-100q^2+169=(13-10q)(13+10q)\)
6. \(121-225p^{12}=(11-15p^6)(11+15p^6)\)
7. \(25b^2-70b+49=(5b-7)^2\)
8. \(256x^{12}-49=(16x^6+7)(16x^6-7)\)
9. \(4x^2-225=(2x+15)(2x-15)\)
10. \(81-16q^{14}=(9-4q^7)(9+4q^7)\)
11. \(y^2+6y+9=(y+3)^2\)
12. \(p^2+10p+25=(p+5)^2\)