Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-28s+196\)
2. \(4b^{6}+52b^3s+169s^2\)
3. \(25x^{6}+110x^3y+121y^2\)
4. \(p^2-1\)
5. \(36s^{10}+132s^5+121\)
6. \(36b^2-121\)
7. \(b^2-2b+1\)
8. \(121p^{6}+44p^3s+4s^2\)
9. \(49x^{10}-224x^5+256\)
10. \(225p^{6}-210p^3q+49q^2\)
11. \(s^2+10s+25\)
12. \(-36b^2+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-28s+196=(s-14)^2\)
2. \(4b^{6}+52b^3s+169s^2=(2b^3+13s)^2\)
3. \(25x^{6}+110x^3y+121y^2=(5x^3+11y)^2\)
4. \(p^2-1=(p-1)(p+1)\)
5. \(36s^{10}+132s^5+121=(6s^5+11)^2\)
6. \(36b^2-121=(6b+11)(6b-11)\)
7. \(b^2-2b+1=(b-1)^2\)
8. \(121p^{6}+44p^3s+4s^2=(11p^3+2s)^2\)
9. \(49x^{10}-224x^5+256=(7x^5-16)^2\)
10. \(225p^{6}-210p^3q+49q^2=(15p^3-7q)^2\)
11. \(s^2+10s+25=(s+5)^2\)
12. \(-36b^2+1=(1-6b)(1+6b)\)