Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121x^2-64\)
2. \(121p^2-b^{14}\)
3. \(256p^2-288p+81\)
4. \(s^2+24s+144\)
5. \(1-81b^{16}\)
6. \(b^2-26b+169\)
7. \(256x^2+32x+1\)
8. \(q^2-196\)
9. \(a^2-49\)
10. \(225s^{10}+420s^5+196\)
11. \(p^2-16\)
12. \(y^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121x^2-64=(11x+8)(11x-8)\)
2. \(121p^2-b^{14}=(11p-b^7)(11p+b^7)\)
3. \(256p^2-288p+81=(16p-9)^2\)
4. \(s^2+24s+144=(s+12)^2\)
5. \(1-81b^{16}=(1-9b^8)(1+9b^8)\)
6. \(b^2-26b+169=(b-13)^2\)
7. \(256x^2+32x+1=(16x+1)^2\)
8. \(q^2-196=(q-14)(q+14)\)
9. \(a^2-49=(a-7)(a+7)\)
10. \(225s^{10}+420s^5+196=(15s^5+14)^2\)
11. \(p^2-16=(p-4)(p+4)\)
12. \(y^2-64=(y+8)(y-8)\)