Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121p^2-256a^{8}\)
2. \(y^2-64\)
3. \(36s^2-132s+121\)
4. \(144b^2+24b+1\)
5. \(121q^2-25\)
6. \(x^2-1\)
7. \(q^2-25\)
8. \(100p^{10}-260p^5y+169y^2\)
9. \(4a^{10}+12a^5+9\)
10. \(225s^2-256p^{12}\)
11. \(256p^2+352p+121\)
12. \(9b^{4}+78b^2p+169p^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121p^2-256a^{8}=(11p-16a^4)(11p+16a^4)\)
2. \(y^2-64=(y-8)(y+8)\)
3. \(36s^2-132s+121=(6s-11)^2\)
4. \(144b^2+24b+1=(12b+1)^2\)
5. \(121q^2-25=(11q+5)(11q-5)\)
6. \(x^2-1=(x+1)(x-1)\)
7. \(q^2-25=(q-5)(q+5)\)
8. \(100p^{10}-260p^5y+169y^2=(10p^5-13y)^2\)
9. \(4a^{10}+12a^5+9=(2a^5+3)^2\)
10. \(225s^2-256p^{12}=(15s-16p^6)(15s+16p^6)\)
11. \(256p^2+352p+121=(16p+11)^2\)
12. \(9b^{4}+78b^2p+169p^2=(3b^2+13p)^2\)