Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-225\)
2. \(121s^2-36b^{10}\)
3. \(s^2-4\)
4. \(9s^2+48s+64\)
5. \(49p^{8}-42p^4x+9x^2\)
6. \(-16q^2+225\)
7. \(25s^2-81q^{10}\)
8. \(b^2-196\)
9. \(s^2-64\)
10. \(169p^{8}-16s^2\)
11. \(64p^{4}+48p^2+9\)
12. \(144y^{6}+24y^3+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-225=(s-15)(s+15)\)
2. \(121s^2-36b^{10}=(11s-6b^5)(11s+6b^5)\)
3. \(s^2-4=(s+2)(s-2)\)
4. \(9s^2+48s+64=(3s+8)^2\)
5. \(49p^{8}-42p^4x+9x^2=(7p^4-3x)^2\)
6. \(-16q^2+225=(15-4q)(15+4q)\)
7. \(25s^2-81q^{10}=(5s-9q^5)(5s+9q^5)\)
8. \(b^2-196=(b-14)(b+14)\)
9. \(s^2-64=(s+8)(s-8)\)
10. \(169p^{8}-16s^2=(13p^4+4s)(13p^4-4s)\)
11. \(64p^{4}+48p^2+9=(8p^2+3)^2\)
12. \(144y^{6}+24y^3+1=(12y^3+1)^2\)