Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25q^2-144p^{16}\)
2. \(-64s^2+25\)
3. \(b^2+22b+121\)
4. \(256q^{4}-288q^2s+81s^2\)
5. \(9s^2-84s+196\)
6. \(s^2+6s+9\)
7. \(b^2-225\)
8. \(b^2-144\)
9. \(-36x^2+169\)
10. \(-144b^2+1\)
11. \(x^2-81\)
12. \(4b^{6}+20b^3+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25q^2-144p^{16}=(5q-12p^8)(5q+12p^8)\)
2. \(-64s^2+25=(5-8s)(5+8s)\)
3. \(b^2+22b+121=(b+11)^2\)
4. \(256q^{4}-288q^2s+81s^2=(16q^2-9s)^2\)
5. \(9s^2-84s+196=(3s-14)^2\)
6. \(s^2+6s+9=(s+3)^2\)
7. \(b^2-225=(b-15)(b+15)\)
8. \(b^2-144=(b-12)(b+12)\)
9. \(-36x^2+169=(13-6x)(13+6x)\)
10. \(-144b^2+1=(1-12b)(1+12b)\)
11. \(x^2-81=(x-9)(x+9)\)
12. \(4b^{6}+20b^3+25=(2b^3+5)^2\)