Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81b^{14}-4s^2\)
2. \(64x^{10}+16x^5+1\)
3. \(100x^2-180x+81\)
4. \(144b^{14}-121\)
5. \(256y^{6}-288y^3+81\)
6. \(256a^{4}+288a^2+81\)
7. \(p^2-100\)
8. \(49a^2-169\)
9. \(36s^{4}+12s^2+1\)
10. \(a^2-2a+1\)
11. \(s^2+14s+49\)
12. \(a^2+20a+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81b^{14}-4s^2=(9b^7+2s)(9b^7-2s)\)
2. \(64x^{10}+16x^5+1=(8x^5+1)^2\)
3. \(100x^2-180x+81=(10x-9)^2\)
4. \(144b^{14}-121=(12b^7+11)(12b^7-11)\)
5. \(256y^{6}-288y^3+81=(16y^3-9)^2\)
6. \(256a^{4}+288a^2+81=(16a^2+9)^2\)
7. \(p^2-100=(p+10)(p-10)\)
8. \(49a^2-169=(7a+13)(7a-13)\)
9. \(36s^{4}+12s^2+1=(6s^2+1)^2\)
10. \(a^2-2a+1=(a-1)^2\)
11. \(s^2+14s+49=(s+7)^2\)
12. \(a^2+20a+100=(a+10)^2\)