Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-24y+144\)
2. \(a^2-12a+36\)
3. \(16a^{6}-225s^2\)
4. \(b^2+18b+81\)
5. \(-256s^2+121\)
6. \(q^2-144\)
7. \(81x^2-121a^{16}\)
8. \(b^2+4b+4\)
9. \(225-121y^{14}\)
10. \(169b^{6}-196x^2\)
11. \(49a^2-225\)
12. \(q^2+6q+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-24y+144=(y-12)^2\)
2. \(a^2-12a+36=(a-6)^2\)
3. \(16a^{6}-225s^2=(4a^3+15s)(4a^3-15s)\)
4. \(b^2+18b+81=(b+9)^2\)
5. \(-256s^2+121=(11-16s)(11+16s)\)
6. \(q^2-144=(q-12)(q+12)\)
7. \(81x^2-121a^{16}=(9x-11a^8)(9x+11a^8)\)
8. \(b^2+4b+4=(b+2)^2\)
9. \(225-121y^{14}=(15-11y^7)(15+11y^7)\)
10. \(169b^{6}-196x^2=(13b^3+14x)(13b^3-14x)\)
11. \(49a^2-225=(7a+15)(7a-15)\)
12. \(q^2+6q+9=(q+3)^2\)