Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196q^{10}+420q^5s+225s^2\)
2. \(a^2+24a+144\)
3. \(225x^2-210x+49\)
4. \(-4y^2+81\)
5. \(36b^2-25\)
6. \(16b^2-88b+121\)
7. \(225y^{8}+30y^4+1\)
8. \(225-4q^{14}\)
9. \(25x^2-36s^{8}\)
10. \(144b^2-264b+121\)
11. \(-81b^2+100\)
12. \(b^2+12b+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196q^{10}+420q^5s+225s^2=(14q^5+15s)^2\)
2. \(a^2+24a+144=(a+12)^2\)
3. \(225x^2-210x+49=(15x-7)^2\)
4. \(-4y^2+81=(9-2y)(9+2y)\)
5. \(36b^2-25=(6b+5)(6b-5)\)
6. \(16b^2-88b+121=(4b-11)^2\)
7. \(225y^{8}+30y^4+1=(15y^4+1)^2\)
8. \(225-4q^{14}=(15-2q^7)(15+2q^7)\)
9. \(25x^2-36s^{8}=(5x-6s^4)(5x+6s^4)\)
10. \(144b^2-264b+121=(12b-11)^2\)
11. \(-81b^2+100=(10-9b)(10+9b)\)
12. \(b^2+12b+36=(b+6)^2\)