Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196p^{4}+140p^2s+25s^2\)
2. \(169s^{4}-416s^2y+256y^2\)
3. \(16b^{14}-81y^2\)
4. \(s^2+26s+169\)
5. \(121a^{10}+264a^5+144\)
6. \(b^2+14b+49\)
7. \(-64q^2+25\)
8. \(196p^{8}-81s^2\)
9. \(y^2-1\)
10. \(a^2-169\)
11. \(121p^{6}-144\)
12. \(9q^2-30q+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196p^{4}+140p^2s+25s^2=(14p^2+5s)^2\)
2. \(169s^{4}-416s^2y+256y^2=(13s^2-16y)^2\)
3. \(16b^{14}-81y^2=(4b^7+9y)(4b^7-9y)\)
4. \(s^2+26s+169=(s+13)^2\)
5. \(121a^{10}+264a^5+144=(11a^5+12)^2\)
6. \(b^2+14b+49=(b+7)^2\)
7. \(-64q^2+25=(5-8q)(5+8q)\)
8. \(196p^{8}-81s^2=(14p^4+9s)(14p^4-9s)\)
9. \(y^2-1=(y+1)(y-1)\)
10. \(a^2-169=(a-13)(a+13)\)
11. \(121p^{6}-144=(11p^3+12)(11p^3-12)\)
12. \(9q^2-30q+25=(3q-5)^2\)