Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36x^2-60x+25\)
2. \(b^2+26b+169\)
3. \(256b^{6}-480b^3+225\)
4. \(y^2+4y+4\)
5. \(100q^2-60q+9\)
6. \(a^2-24a+144\)
7. \(25a^2-40a+16\)
8. \(a^2-26a+169\)
9. \(-256y^2+121\)
10. \(196a^2-225\)
11. \(169q^{4}-390q^2+225\)
12. \(49-144q^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36x^2-60x+25=(6x-5)^2\)
2. \(b^2+26b+169=(b+13)^2\)
3. \(256b^{6}-480b^3+225=(16b^3-15)^2\)
4. \(y^2+4y+4=(y+2)^2\)
5. \(100q^2-60q+9=(10q-3)^2\)
6. \(a^2-24a+144=(a-12)^2\)
7. \(25a^2-40a+16=(5a-4)^2\)
8. \(a^2-26a+169=(a-13)^2\)
9. \(-256y^2+121=(11-16y)(11+16y)\)
10. \(196a^2-225=(14a+15)(14a-15)\)
11. \(169q^{4}-390q^2+225=(13q^2-15)^2\)
12. \(49-144q^{10}=(7-12q^5)(7+12q^5)\)