Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144q^{8}-1\)
2. \(169a^{10}-25s^2\)
3. \(16b^{4}+40b^2s+25s^2\)
4. \(100x^2-s^{6}\)
5. \(q^2-16q+64\)
6. \(49b^2+14b+1\)
7. \(49s^{10}-42s^5y+9y^2\)
8. \(16s^{10}-24s^5+9\)
9. \(49p^2-9\)
10. \(49p^2-144a^{6}\)
11. \(144x^{10}-264x^5+121\)
12. \(x^2-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144q^{8}-1=(12q^4+1)(12q^4-1)\)
2. \(169a^{10}-25s^2=(13a^5+5s)(13a^5-5s)\)
3. \(16b^{4}+40b^2s+25s^2=(4b^2+5s)^2\)
4. \(100x^2-s^{6}=(10x-s^3)(10x+s^3)\)
5. \(q^2-16q+64=(q-8)^2\)
6. \(49b^2+14b+1=(7b+1)^2\)
7. \(49s^{10}-42s^5y+9y^2=(7s^5-3y)^2\)
8. \(16s^{10}-24s^5+9=(4s^5-3)^2\)
9. \(49p^2-9=(7p+3)(7p-3)\)
10. \(49p^2-144a^{6}=(7p-12a^3)(7p+12a^3)\)
11. \(144x^{10}-264x^5+121=(12x^5-11)^2\)
12. \(x^2-1=(x-1)(x+1)\)