Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169s^2-81p^{4}\)
2. \(100a^2-49\)
3. \(196y^2-25s^{10}\)
4. \(q^2-25\)
5. \(256s^{10}+288s^5+81\)
6. \(a^2-64\)
7. \(1-81p^{10}\)
8. \(y^2-144\)
9. \(a^2-16\)
10. \(121q^2-286q+169\)
11. \(p^2-196\)
12. \(p^2-24p+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169s^2-81p^{4}=(13s-9p^2)(13s+9p^2)\)
2. \(100a^2-49=(10a+7)(10a-7)\)
3. \(196y^2-25s^{10}=(14y-5s^5)(14y+5s^5)\)
4. \(q^2-25=(q-5)(q+5)\)
5. \(256s^{10}+288s^5+81=(16s^5+9)^2\)
6. \(a^2-64=(a-8)(a+8)\)
7. \(1-81p^{10}=(1-9p^5)(1+9p^5)\)
8. \(y^2-144=(y+12)(y-12)\)
9. \(a^2-16=(a+4)(a-4)\)
10. \(121q^2-286q+169=(11q-13)^2\)
11. \(p^2-196=(p+14)(p-14)\)
12. \(p^2-24p+144=(p-12)^2\)