Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169-36q^{10}\)
2. \(-196b^2+25\)
3. \(49q^{10}-224q^5+256\)
4. \(b^2-121\)
5. \(49y^{4}+210y^2+225\)
6. \(121x^2-220x+100\)
7. \(p^2+24p+144\)
8. \(225s^2+30s+1\)
9. \(y^2-2y+1\)
10. \(81-100p^{6}\)
11. \(b^2+14b+49\)
12. \(169x^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169-36q^{10}=(13-6q^5)(13+6q^5)\)
2. \(-196b^2+25=(5-14b)(5+14b)\)
3. \(49q^{10}-224q^5+256=(7q^5-16)^2\)
4. \(b^2-121=(b-11)(b+11)\)
5. \(49y^{4}+210y^2+225=(7y^2+15)^2\)
6. \(121x^2-220x+100=(11x-10)^2\)
7. \(p^2+24p+144=(p+12)^2\)
8. \(225s^2+30s+1=(15s+1)^2\)
9. \(y^2-2y+1=(y-1)^2\)
10. \(81-100p^{6}=(9-10p^3)(9+10p^3)\)
11. \(b^2+14b+49=(b+7)^2\)
12. \(169x^2-144=(13x+12)(13x-12)\)