Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225p^{6}-210p^3s+49s^2\)
2. \(81b^{8}+18b^4+1\)
3. \(196q^{10}-252q^5+81\)
4. \(p^2+26p+169\)
5. \(x^2-1\)
6. \(p^2+4p+4\)
7. \(144s^2-264s+121\)
8. \(100q^2-60q+9\)
9. \(4s^2-121\)
10. \(-9p^2+196\)
11. \(16-49y^{4}\)
12. \(9p^{8}-100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225p^{6}-210p^3s+49s^2=(15p^3-7s)^2\)
2. \(81b^{8}+18b^4+1=(9b^4+1)^2\)
3. \(196q^{10}-252q^5+81=(14q^5-9)^2\)
4. \(p^2+26p+169=(p+13)^2\)
5. \(x^2-1=(x+1)(x-1)\)
6. \(p^2+4p+4=(p+2)^2\)
7. \(144s^2-264s+121=(12s-11)^2\)
8. \(100q^2-60q+9=(10q-3)^2\)
9. \(4s^2-121=(2s+11)(2s-11)\)
10. \(-9p^2+196=(14-3p)(14+3p)\)
11. \(16-49y^{4}=(4-7y^2)(4+7y^2)\)
12. \(9p^{8}-100=(3p^4+10)(3p^4-10)\)