Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-16q+64\)
2. \(s^2-100\)
3. \(121b^2+66b+9\)
4. \(169-256x^{6}\)
5. \(q^2-64\)
6. \(-144p^2+25\)
7. \(64q^{4}-25x^2\)
8. \(36s^{6}-49\)
9. \(49q^{6}-42q^3x+9x^2\)
10. \(q^2-1\)
11. \(-144x^2+121\)
12. \(100p^{8}+140p^4s+49s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-16q+64=(q-8)^2\)
2. \(s^2-100=(s-10)(s+10)\)
3. \(121b^2+66b+9=(11b+3)^2\)
4. \(169-256x^{6}=(13-16x^3)(13+16x^3)\)
5. \(q^2-64=(q+8)(q-8)\)
6. \(-144p^2+25=(5-12p)(5+12p)\)
7. \(64q^{4}-25x^2=(8q^2+5x)(8q^2-5x)\)
8. \(36s^{6}-49=(6s^3+7)(6s^3-7)\)
9. \(49q^{6}-42q^3x+9x^2=(7q^3-3x)^2\)
10. \(q^2-1=(q+1)(q-1)\)
11. \(-144x^2+121=(11-12x)(11+12x)\)
12. \(100p^{8}+140p^4s+49s^2=(10p^4+7s)^2\)