Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(1-196a^{10}\)
2. \(64q^2-225a^{6}\)
3. \(-9s^2+121\)
4. \(a^2-16a+64\)
5. \(q^{16}-121y^2\)
6. \(b^2-6b+9\)
7. \(4b^2+4b+1\)
8. \(b^2-22b+121\)
9. \(1-144y^{14}\)
10. \(b^2+18b+81\)
11. \(225q^2-210q+49\)
12. \(4a^{10}+52a^5+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(1-196a^{10}=(1-14a^5)(1+14a^5)\)
2. \(64q^2-225a^{6}=(8q-15a^3)(8q+15a^3)\)
3. \(-9s^2+121=(11-3s)(11+3s)\)
4. \(a^2-16a+64=(a-8)^2\)
5. \(q^{16}-121y^2=(q^8+11y)(q^8-11y)\)
6. \(b^2-6b+9=(b-3)^2\)
7. \(4b^2+4b+1=(2b+1)^2\)
8. \(b^2-22b+121=(b-11)^2\)
9. \(1-144y^{14}=(1-12y^7)(1+12y^7)\)
10. \(b^2+18b+81=(b+9)^2\)
11. \(225q^2-210q+49=(15q-7)^2\)
12. \(4a^{10}+52a^5+169=(2a^5+13)^2\)