Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-6a+9\)
2. \(121q^{6}-176q^3+64\)
3. \(256x^{8}+480x^4+225\)
4. \(256b^{4}-480b^2q+225q^2\)
5. \(81a^{4}-144a^2+64\)
6. \(64y^{6}+176y^3+121\)
7. \(144s^{6}-264s^3x+121x^2\)
8. \(49x^2+182x+169\)
9. \(49b^2-225a^{4}\)
10. \(-225x^2+1\)
11. \(121b^{6}-220b^3+100\)
12. \(64a^2-112a+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-6a+9=(a-3)^2\)
2. \(121q^{6}-176q^3+64=(11q^3-8)^2\)
3. \(256x^{8}+480x^4+225=(16x^4+15)^2\)
4. \(256b^{4}-480b^2q+225q^2=(16b^2-15q)^2\)
5. \(81a^{4}-144a^2+64=(9a^2-8)^2\)
6. \(64y^{6}+176y^3+121=(8y^3+11)^2\)
7. \(144s^{6}-264s^3x+121x^2=(12s^3-11x)^2\)
8. \(49x^2+182x+169=(7x+13)^2\)
9. \(49b^2-225a^{4}=(7b-15a^2)(7b+15a^2)\)
10. \(-225x^2+1=(1-15x)(1+15x)\)
11. \(121b^{6}-220b^3+100=(11b^3-10)^2\)
12. \(64a^2-112a+49=(8a-7)^2\)