Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-4s+4\)
2. \(16-81b^{10}\)
3. \(100a^{6}+220a^3+121\)
4. \(a^2-18a+81\)
5. \(64b^{12}-121\)
6. \(16a^{8}-49p^2\)
7. \(49s^{10}-182s^5x+169x^2\)
8. \(-64x^2+1\)
9. \(49y^2-121b^{4}\)
10. \(25x^2+70x+49\)
11. \(64p^{4}-25\)
12. \(q^2-196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-4s+4=(s-2)^2\)
2. \(16-81b^{10}=(4-9b^5)(4+9b^5)\)
3. \(100a^{6}+220a^3+121=(10a^3+11)^2\)
4. \(a^2-18a+81=(a-9)^2\)
5. \(64b^{12}-121=(8b^6+11)(8b^6-11)\)
6. \(16a^{8}-49p^2=(4a^4+7p)(4a^4-7p)\)
7. \(49s^{10}-182s^5x+169x^2=(7s^5-13x)^2\)
8. \(-64x^2+1=(1-8x)(1+8x)\)
9. \(49y^2-121b^{4}=(7y-11b^2)(7y+11b^2)\)
10. \(25x^2+70x+49=(5x+7)^2\)
11. \(64p^{4}-25=(8p^2+5)(8p^2-5)\)
12. \(q^2-196=(q+14)(q-14)\)