Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-4b^2+1\)
2. \(q^2-144\)
3. \(169q^{12}-4\)
4. \(121s^2-220s+100\)
5. \(144s^{8}+120s^4x+25x^2\)
6. \(169-81x^{6}\)
7. \(49y^{4}-42y^2+9\)
8. \(9-64b^{4}\)
9. \(81p^{4}-72p^2+16\)
10. \(49q^{4}+14q^2x+1x^2\)
11. \(196s^{8}+28s^4y+1y^2\)
12. \(9-16a^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-4b^2+1=(1-2b)(1+2b)\)
2. \(q^2-144=(q-12)(q+12)\)
3. \(169q^{12}-4=(13q^6+2)(13q^6-2)\)
4. \(121s^2-220s+100=(11s-10)^2\)
5. \(144s^{8}+120s^4x+25x^2=(12s^4+5x)^2\)
6. \(169-81x^{6}=(13-9x^3)(13+9x^3)\)
7. \(49y^{4}-42y^2+9=(7y^2-3)^2\)
8. \(9-64b^{4}=(3-8b^2)(3+8b^2)\)
9. \(81p^{4}-72p^2+16=(9p^2-4)^2\)
10. \(49q^{4}+14q^2x+1x^2=(7q^2+x)^2\)
11. \(196s^{8}+28s^4y+1y^2=(14s^4+y)^2\)
12. \(9-16a^{12}=(3-4a^6)(3+4a^6)\)