Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-121a^2+36\)
2. \(16s^{10}+40s^5x+25x^2\)
3. \(9-100s^{8}\)
4. \(81q^{6}-72q^3+16\)
5. \(q^2+30q+225\)
6. \(q^2-36\)
7. \(49b^{4}-42b^2q+9q^2\)
8. \(121a^{8}+110a^4+25\)
9. \(49-100p^{10}\)
10. \(144a^2-25\)
11. \(256a^2-169\)
12. \(x^2-225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-121a^2+36=(6-11a)(6+11a)\)
2. \(16s^{10}+40s^5x+25x^2=(4s^5+5x)^2\)
3. \(9-100s^{8}=(3-10s^4)(3+10s^4)\)
4. \(81q^{6}-72q^3+16=(9q^3-4)^2\)
5. \(q^2+30q+225=(q+15)^2\)
6. \(q^2-36=(q+6)(q-6)\)
7. \(49b^{4}-42b^2q+9q^2=(7b^2-3q)^2\)
8. \(121a^{8}+110a^4+25=(11a^4+5)^2\)
9. \(49-100p^{10}=(7-10p^5)(7+10p^5)\)
10. \(144a^2-25=(12a+5)(12a-5)\)
11. \(256a^2-169=(16a+13)(16a-13)\)
12. \(x^2-225=(x-15)(x+15)\)