Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-225\)
2. \(s^2-1\)
3. \(49p^{12}-64\)
4. \(p^2-81\)
5. \(4a^{4}+36a^2+81\)
6. \(4q^{10}+4q^5+1\)
7. \(9a^{10}+60a^5x+100x^2\)
8. \(-36a^2+1\)
9. \(169x^{4}+364x^2+196\)
10. \(144q^{12}-25y^2\)
11. \(121b^{6}-225\)
12. \(121y^{4}+308y^2+196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-225=(a-15)(a+15)\)
2. \(s^2-1=(s+1)(s-1)\)
3. \(49p^{12}-64=(7p^6+8)(7p^6-8)\)
4. \(p^2-81=(p+9)(p-9)\)
5. \(4a^{4}+36a^2+81=(2a^2+9)^2\)
6. \(4q^{10}+4q^5+1=(2q^5+1)^2\)
7. \(9a^{10}+60a^5x+100x^2=(3a^5+10x)^2\)
8. \(-36a^2+1=(1-6a)(1+6a)\)
9. \(169x^{4}+364x^2+196=(13x^2+14)^2\)
10. \(144q^{12}-25y^2=(12q^6+5y)(12q^6-5y)\)
11. \(121b^{6}-225=(11b^3+15)(11b^3-15)\)
12. \(121y^{4}+308y^2+196=(11y^2+14)^2\)