Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9q^2-1\)
2. \(121q^{4}-144\)
3. \(49a^2-42a+9\)
4. \(a^2-9\)
5. \(x^2-49\)
6. \(49y^2-121p^{6}\)
7. \(-4s^2+1\)
8. \(169x^{4}-156x^2+36\)
9. \(49x^2-81\)
10. \(81x^2-64b^{6}\)
11. \(q^2+6q+9\)
12. \(64b^{10}+240b^5+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9q^2-1=(3q+1)(3q-1)\)
2. \(121q^{4}-144=(11q^2+12)(11q^2-12)\)
3. \(49a^2-42a+9=(7a-3)^2\)
4. \(a^2-9=(a+3)(a-3)\)
5. \(x^2-49=(x-7)(x+7)\)
6. \(49y^2-121p^{6}=(7y-11p^3)(7y+11p^3)\)
7. \(-4s^2+1=(1-2s)(1+2s)\)
8. \(169x^{4}-156x^2+36=(13x^2-6)^2\)
9. \(49x^2-81=(7x+9)(7x-9)\)
10. \(81x^2-64b^{6}=(9x-8b^3)(9x+8b^3)\)
11. \(q^2+6q+9=(q+3)^2\)
12. \(64b^{10}+240b^5+225=(8b^5+15)^2\)