Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169a^{4}-4\)
2. \(a^2-144\)
3. \(49a^{8}+56a^4b+16b^2\)
4. \(s^2-16\)
5. \(-225y^2+121\)
6. \(25q^{10}-90q^5+81\)
7. \(81y^2-72y+16\)
8. \(4q^2+36q+81\)
9. \(1-121a^{10}\)
10. \(121q^2-144\)
11. \(9q^{4}-16y^2\)
12. \(x^2-16x+64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169a^{4}-4=(13a^2+2)(13a^2-2)\)
2. \(a^2-144=(a+12)(a-12)\)
3. \(49a^{8}+56a^4b+16b^2=(7a^4+4b)^2\)
4. \(s^2-16=(s-4)(s+4)\)
5. \(-225y^2+121=(11-15y)(11+15y)\)
6. \(25q^{10}-90q^5+81=(5q^5-9)^2\)
7. \(81y^2-72y+16=(9y-4)^2\)
8. \(4q^2+36q+81=(2q+9)^2\)
9. \(1-121a^{10}=(1-11a^5)(1+11a^5)\)
10. \(121q^2-144=(11q+12)(11q-12)\)
11. \(9q^{4}-16y^2=(3q^2+4y)(3q^2-4y)\)
12. \(x^2-16x+64=(x-8)^2\)