Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-144\)
2. \(a^2-10a+25\)
3. \(49s^2-224s+256\)
4. \(-169x^2+196\)
5. \(p^2-1\)
6. \(121a^2+308a+196\)
7. \(b^2-81\)
8. \(x^2-144\)
9. \(169s^2+52s+4\)
10. \(64b^{8}+208b^4+169\)
11. \(225a^{10}+330a^5+121\)
12. \(121-36x^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-144=(q-12)(q+12)\)
2. \(a^2-10a+25=(a-5)^2\)
3. \(49s^2-224s+256=(7s-16)^2\)
4. \(-169x^2+196=(14-13x)(14+13x)\)
5. \(p^2-1=(p+1)(p-1)\)
6. \(121a^2+308a+196=(11a+14)^2\)
7. \(b^2-81=(b-9)(b+9)\)
8. \(x^2-144=(x+12)(x-12)\)
9. \(169s^2+52s+4=(13s+2)^2\)
10. \(64b^{8}+208b^4+169=(8b^4+13)^2\)
11. \(225a^{10}+330a^5+121=(15a^5+11)^2\)
12. \(121-36x^{12}=(11-6x^6)(11+6x^6)\)