Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225q^2-16\)
2. \(36y^2+132y+121\)
3. \(9s^2-64b^{16}\)
4. \(196x^2-b^{16}\)
5. \(81p^{8}-121y^2\)
6. \(b^2-225\)
7. \(9x^2-12x+4\)
8. \(64b^2-112b+49\)
9. \(16b^2-88b+121\)
10. \(q^2-16\)
11. \(256a^{6}+32a^3+1\)
12. \(81q^{10}-198q^5+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225q^2-16=(15q+4)(15q-4)\)
2. \(36y^2+132y+121=(6y+11)^2\)
3. \(9s^2-64b^{16}=(3s-8b^8)(3s+8b^8)\)
4. \(196x^2-b^{16}=(14x-b^8)(14x+b^8)\)
5. \(81p^{8}-121y^2=(9p^4+11y)(9p^4-11y)\)
6. \(b^2-225=(b+15)(b-15)\)
7. \(9x^2-12x+4=(3x-2)^2\)
8. \(64b^2-112b+49=(8b-7)^2\)
9. \(16b^2-88b+121=(4b-11)^2\)
10. \(q^2-16=(q+4)(q-4)\)
11. \(256a^{6}+32a^3+1=(16a^3+1)^2\)
12. \(81q^{10}-198q^5+121=(9q^5-11)^2\)