Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9y^2-30y+25\)
2. \(q^2-14q+49\)
3. \(81-196y^{4}\)
4. \(25a^{8}-16s^2\)
5. \(p^2-144\)
6. \(225y^{6}+390y^3+169\)
7. \(121b^{12}-1\)
8. \(p^2-4\)
9. \(144a^{10}-1\)
10. \(16s^{4}+88s^2y+121y^2\)
11. \(144-25x^{6}\)
12. \(64x^2+80x+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9y^2-30y+25=(3y-5)^2\)
2. \(q^2-14q+49=(q-7)^2\)
3. \(81-196y^{4}=(9-14y^2)(9+14y^2)\)
4. \(25a^{8}-16s^2=(5a^4+4s)(5a^4-4s)\)
5. \(p^2-144=(p-12)(p+12)\)
6. \(225y^{6}+390y^3+169=(15y^3+13)^2\)
7. \(121b^{12}-1=(11b^6+1)(11b^6-1)\)
8. \(p^2-4=(p+2)(p-2)\)
9. \(144a^{10}-1=(12a^5+1)(12a^5-1)\)
10. \(16s^{4}+88s^2y+121y^2=(4s^2+11y)^2\)
11. \(144-25x^{6}=(12-5x^3)(12+5x^3)\)
12. \(64x^2+80x+25=(8x+5)^2\)