Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-9\)
2. \(169-225x^{16}\)
3. \(q^2+28q+196\)
4. \(a^2+24a+144\)
5. \(64y^2+144y+81\)
6. \(81s^2-36s+4\)
7. \(s^2+18s+81\)
8. \(225s^{8}-49\)
9. \(225q^2-121\)
10. \(64a^2-240a+225\)
11. \(x^2-18x+81\)
12. \(225p^{10}-210p^5y+49y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-9=(q+3)(q-3)\)
2. \(169-225x^{16}=(13-15x^8)(13+15x^8)\)
3. \(q^2+28q+196=(q+14)^2\)
4. \(a^2+24a+144=(a+12)^2\)
5. \(64y^2+144y+81=(8y+9)^2\)
6. \(81s^2-36s+4=(9s-2)^2\)
7. \(s^2+18s+81=(s+9)^2\)
8. \(225s^{8}-49=(15s^4+7)(15s^4-7)\)
9. \(225q^2-121=(15q+11)(15q-11)\)
10. \(64a^2-240a+225=(8a-15)^2\)
11. \(x^2-18x+81=(x-9)^2\)
12. \(225p^{10}-210p^5y+49y^2=(15p^5-7y)^2\)