Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9y^2-196a^{12}\)
2. \(81q^{12}-25\)
3. \(x^2-49\)
4. \(y^2+4y+4\)
5. \(144q^{6}-1\)
6. \(49s^2+140s+100\)
7. \(25y^2-40y+16\)
8. \(81b^{8}-234b^4+169\)
9. \(9q^2-48q+64\)
10. \(p^2-64\)
11. \(144a^{10}-168a^5q+49q^2\)
12. \(q^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9y^2-196a^{12}=(3y-14a^6)(3y+14a^6)\)
2. \(81q^{12}-25=(9q^6+5)(9q^6-5)\)
3. \(x^2-49=(x+7)(x-7)\)
4. \(y^2+4y+4=(y+2)^2\)
5. \(144q^{6}-1=(12q^3+1)(12q^3-1)\)
6. \(49s^2+140s+100=(7s+10)^2\)
7. \(25y^2-40y+16=(5y-4)^2\)
8. \(81b^{8}-234b^4+169=(9b^4-13)^2\)
9. \(9q^2-48q+64=(3q-8)^2\)
10. \(p^2-64=(p+8)(p-8)\)
11. \(144a^{10}-168a^5q+49q^2=(12a^5-7q)^2\)
12. \(q^2-121=(q-11)(q+11)\)