Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2+8y+16\)
2. \(16x^{8}-88x^4+121\)
3. \(100y^{6}-60y^3+9\)
4. \(256x^{6}-25\)
5. \(225a^{12}-49\)
6. \(121s^2-196\)
7. \(b^2-14b+49\)
8. \(a^2+16a+64\)
9. \(256b^2-81\)
10. \(4s^2-25a^{14}\)
11. \(25p^2+10p+1\)
12. \(4a^{6}+4a^3+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2+8y+16=(y+4)^2\)
2. \(16x^{8}-88x^4+121=(4x^4-11)^2\)
3. \(100y^{6}-60y^3+9=(10y^3-3)^2\)
4. \(256x^{6}-25=(16x^3+5)(16x^3-5)\)
5. \(225a^{12}-49=(15a^6+7)(15a^6-7)\)
6. \(121s^2-196=(11s+14)(11s-14)\)
7. \(b^2-14b+49=(b-7)^2\)
8. \(a^2+16a+64=(a+8)^2\)
9. \(256b^2-81=(16b+9)(16b-9)\)
10. \(4s^2-25a^{14}=(2s-5a^7)(2s+5a^7)\)
11. \(25p^2+10p+1=(5p+1)^2\)
12. \(4a^{6}+4a^3+1=(2a^3+1)^2\)