Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-28q+196\)
2. \(9a^{14}-25\)
3. \(64b^{10}+240b^5+225\)
4. \(p^2-121\)
5. \(16q^2-120q+225\)
6. \(81y^2-4s^{8}\)
7. \(81a^{6}-169s^2\)
8. \(25-36q^{12}\)
9. \(36y^{10}-132y^5+121\)
10. \(121s^2-16\)
11. \(9q^{4}+78q^2x+169x^2\)
12. \(256a^{8}-96a^4p+9p^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-28q+196=(q-14)^2\)
2. \(9a^{14}-25=(3a^7+5)(3a^7-5)\)
3. \(64b^{10}+240b^5+225=(8b^5+15)^2\)
4. \(p^2-121=(p-11)(p+11)\)
5. \(16q^2-120q+225=(4q-15)^2\)
6. \(81y^2-4s^{8}=(9y-2s^4)(9y+2s^4)\)
7. \(81a^{6}-169s^2=(9a^3+13s)(9a^3-13s)\)
8. \(25-36q^{12}=(5-6q^6)(5+6q^6)\)
9. \(36y^{10}-132y^5+121=(6y^5-11)^2\)
10. \(121s^2-16=(11s+4)(11s-4)\)
11. \(9q^{4}+78q^2x+169x^2=(3q^2+13x)^2\)
12. \(256a^{8}-96a^4p+9p^2=(16a^4-3p)^2\)