Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+18s+81\)
2. \(9p^{10}+60p^5q+100q^2\)
3. \(121b^2-4a^{10}\)
4. \(q^2-121\)
5. \(-49y^2+81\)
6. \(36a^{10}-60a^5+25\)
7. \(b^2+8b+16\)
8. \(p^2-100\)
9. \(p^2+26p+169\)
10. \(16y^2+8y+1\)
11. \(49b^2+14b+1\)
12. \(x^2+14x+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+18s+81=(s+9)^2\)
2. \(9p^{10}+60p^5q+100q^2=(3p^5+10q)^2\)
3. \(121b^2-4a^{10}=(11b-2a^5)(11b+2a^5)\)
4. \(q^2-121=(q-11)(q+11)\)
5. \(-49y^2+81=(9-7y)(9+7y)\)
6. \(36a^{10}-60a^5+25=(6a^5-5)^2\)
7. \(b^2+8b+16=(b+4)^2\)
8. \(p^2-100=(p+10)(p-10)\)
9. \(p^2+26p+169=(p+13)^2\)
10. \(16y^2+8y+1=(4y+1)^2\)
11. \(49b^2+14b+1=(7b+1)^2\)
12. \(x^2+14x+49=(x+7)^2\)