Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100a^{6}-180a^3b+81b^2\)
2. \(144a^2+264a+121\)
3. \(x^2-25\)
4. \(81y^{14}-1\)
5. \(9q^{8}-49\)
6. \(225b^{4}-420b^2y+196y^2\)
7. \(25y^2+120y+144\)
8. \(-4b^2+81\)
9. \(144b^{8}+168b^4+49\)
10. \(64x^{4}-121\)
11. \(p^2-16p+64\)
12. \(s^2-24s+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100a^{6}-180a^3b+81b^2=(10a^3-9b)^2\)
2. \(144a^2+264a+121=(12a+11)^2\)
3. \(x^2-25=(x+5)(x-5)\)
4. \(81y^{14}-1=(9y^7+1)(9y^7-1)\)
5. \(9q^{8}-49=(3q^4+7)(3q^4-7)\)
6. \(225b^{4}-420b^2y+196y^2=(15b^2-14y)^2\)
7. \(25y^2+120y+144=(5y+12)^2\)
8. \(-4b^2+81=(9-2b)(9+2b)\)
9. \(144b^{8}+168b^4+49=(12b^4+7)^2\)
10. \(64x^{4}-121=(8x^2+11)(8x^2-11)\)
11. \(p^2-16p+64=(p-8)^2\)
12. \(s^2-24s+144=(s-12)^2\)