Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9b^{8}-100\)
2. \(p^2-18p+81\)
3. \(225q^{16}-4y^2\)
4. \(16a^{4}-121q^2\)
5. \(q^2-25\)
6. \(s^2-225\)
7. \(-4x^2+81\)
8. \(169q^2-16p^{16}\)
9. \(1-225p^{12}\)
10. \(16q^2+88q+121\)
11. \(x^2-16\)
12. \(169b^2-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9b^{8}-100=(3b^4+10)(3b^4-10)\)
2. \(p^2-18p+81=(p-9)^2\)
3. \(225q^{16}-4y^2=(15q^8+2y)(15q^8-2y)\)
4. \(16a^{4}-121q^2=(4a^2+11q)(4a^2-11q)\)
5. \(q^2-25=(q+5)(q-5)\)
6. \(s^2-225=(s-15)(s+15)\)
7. \(-4x^2+81=(9-2x)(9+2x)\)
8. \(169q^2-16p^{16}=(13q-4p^8)(13q+4p^8)\)
9. \(1-225p^{12}=(1-15p^6)(1+15p^6)\)
10. \(16q^2+88q+121=(4q+11)^2\)
11. \(x^2-16=(x+4)(x-4)\)
12. \(169b^2-1=(13b+1)(13b-1)\)