Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64s^{8}-81\)
2. \(49x^{10}-224x^5+256\)
3. \(144x^{4}+264x^2+121\)
4. \(25p^{10}-70p^5+49\)
5. \(x^2-100\)
6. \(169y^{4}+286y^2+121\)
7. \(-16p^2+25\)
8. \(81x^2+126x+49\)
9. \(49s^{6}+28s^3x+4x^2\)
10. \(121y^2+176y+64\)
11. \(256q^{4}-25y^2\)
12. \(q^2+22q+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64s^{8}-81=(8s^4+9)(8s^4-9)\)
2. \(49x^{10}-224x^5+256=(7x^5-16)^2\)
3. \(144x^{4}+264x^2+121=(12x^2+11)^2\)
4. \(25p^{10}-70p^5+49=(5p^5-7)^2\)
5. \(x^2-100=(x-10)(x+10)\)
6. \(169y^{4}+286y^2+121=(13y^2+11)^2\)
7. \(-16p^2+25=(5-4p)(5+4p)\)
8. \(81x^2+126x+49=(9x+7)^2\)
9. \(49s^{6}+28s^3x+4x^2=(7s^3+2x)^2\)
10. \(121y^2+176y+64=(11y+8)^2\)
11. \(256q^{4}-25y^2=(16q^2+5y)(16q^2-5y)\)
12. \(q^2+22q+121=(q+11)^2\)