Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121x^{10}+22x^5+1\)
2. \(s^2-144\)
3. \(x^2+14x+49\)
4. \(q^2-100\)
5. \(196s^{14}-225x^2\)
6. \(1-16s^{12}\)
7. \(121y^2-1\)
8. \(49a^2-25\)
9. \(q^2-14q+49\)
10. \(a^2-30a+225\)
11. \(81p^{8}-144p^4+64\)
12. \(64y^2+80y+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121x^{10}+22x^5+1=(11x^5+1)^2\)
2. \(s^2-144=(s-12)(s+12)\)
3. \(x^2+14x+49=(x+7)^2\)
4. \(q^2-100=(q-10)(q+10)\)
5. \(196s^{14}-225x^2=(14s^7+15x)(14s^7-15x)\)
6. \(1-16s^{12}=(1-4s^6)(1+4s^6)\)
7. \(121y^2-1=(11y+1)(11y-1)\)
8. \(49a^2-25=(7a+5)(7a-5)\)
9. \(q^2-14q+49=(q-7)^2\)
10. \(a^2-30a+225=(a-15)^2\)
11. \(81p^{8}-144p^4+64=(9p^4-8)^2\)
12. \(64y^2+80y+25=(8y+5)^2\)