Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25y^{4}-140y^2+196\)
2. \(100s^{4}+260s^2+169\)
3. \(36y^2-25\)
4. \(q^2-2q+1\)
5. \(9-169a^{10}\)
6. \(s^2+16s+64\)
7. \(4a^{4}+60a^2x+225x^2\)
8. \(121p^{12}-4s^2\)
9. \(144p^{6}-121q^2\)
10. \(q^2-81\)
11. \(100a^{4}-260a^2x+169x^2\)
12. \(225a^{8}-210a^4y+49y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25y^{4}-140y^2+196=(5y^2-14)^2\)
2. \(100s^{4}+260s^2+169=(10s^2+13)^2\)
3. \(36y^2-25=(6y+5)(6y-5)\)
4. \(q^2-2q+1=(q-1)^2\)
5. \(9-169a^{10}=(3-13a^5)(3+13a^5)\)
6. \(s^2+16s+64=(s+8)^2\)
7. \(4a^{4}+60a^2x+225x^2=(2a^2+15x)^2\)
8. \(121p^{12}-4s^2=(11p^6+2s)(11p^6-2s)\)
9. \(144p^{6}-121q^2=(12p^3+11q)(12p^3-11q)\)
10. \(q^2-81=(q-9)(q+9)\)
11. \(100a^{4}-260a^2x+169x^2=(10a^2-13x)^2\)
12. \(225a^{8}-210a^4y+49y^2=(15a^4-7y)^2\)