Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100x^2-49q^{6}\)
2. \(49y^{8}-182y^4+169\)
3. \(q^2+26q+169\)
4. \(64y^{10}-81\)
5. \(81y^{4}+144y^2+64\)
6. \(25a^{6}-20a^3s+4s^2\)
7. \(16b^2-9\)
8. \(y^2-121\)
9. \(196a^{10}-364a^5+169\)
10. \(p^2-81\)
11. \(49s^2-28s+4\)
12. \(x^2-6x+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100x^2-49q^{6}=(10x-7q^3)(10x+7q^3)\)
2. \(49y^{8}-182y^4+169=(7y^4-13)^2\)
3. \(q^2+26q+169=(q+13)^2\)
4. \(64y^{10}-81=(8y^5+9)(8y^5-9)\)
5. \(81y^{4}+144y^2+64=(9y^2+8)^2\)
6. \(25a^{6}-20a^3s+4s^2=(5a^3-2s)^2\)
7. \(16b^2-9=(4b+3)(4b-3)\)
8. \(y^2-121=(y-11)(y+11)\)
9. \(196a^{10}-364a^5+169=(14a^5-13)^2\)
10. \(p^2-81=(p+9)(p-9)\)
11. \(49s^2-28s+4=(7s-2)^2\)
12. \(x^2-6x+9=(x-3)^2\)