Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36y^2+132y+121\)
2. \(256b^{14}-81\)
3. \(25q^2+140q+196\)
4. \(s^2-1\)
5. \(4b^2-225a^{4}\)
6. \(16q^2+56q+49\)
7. \(x^2-22x+121\)
8. \(a^2-144\)
9. \(q^2-81\)
10. \(9s^{6}+48s^3+64\)
11. \(36s^{4}-1\)
12. \(64a^{14}-25y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36y^2+132y+121=(6y+11)^2\)
2. \(256b^{14}-81=(16b^7+9)(16b^7-9)\)
3. \(25q^2+140q+196=(5q+14)^2\)
4. \(s^2-1=(s+1)(s-1)\)
5. \(4b^2-225a^{4}=(2b-15a^2)(2b+15a^2)\)
6. \(16q^2+56q+49=(4q+7)^2\)
7. \(x^2-22x+121=(x-11)^2\)
8. \(a^2-144=(a+12)(a-12)\)
9. \(q^2-81=(q+9)(q-9)\)
10. \(9s^{6}+48s^3+64=(3s^3+8)^2\)
11. \(36s^{4}-1=(6s^2+1)(6s^2-1)\)
12. \(64a^{14}-25y^2=(8a^7+5y)(8a^7-5y)\)