Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25s^2-90s+81\)
2. \(y^2-196\)
3. \(y^2+18y+81\)
4. \(81q^2+72q+16\)
5. \(81q^2-64b^{16}\)
6. \(81-64y^{8}\)
7. \(16a^{10}-225\)
8. \(196a^{8}-252a^4p+81p^2\)
9. \(144y^{10}+264y^5+121\)
10. \(49p^2+70p+25\)
11. \(169a^{6}-416a^3y+256y^2\)
12. \(x^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25s^2-90s+81=(5s-9)^2\)
2. \(y^2-196=(y-14)(y+14)\)
3. \(y^2+18y+81=(y+9)^2\)
4. \(81q^2+72q+16=(9q+4)^2\)
5. \(81q^2-64b^{16}=(9q-8b^8)(9q+8b^8)\)
6. \(81-64y^{8}=(9-8y^4)(9+8y^4)\)
7. \(16a^{10}-225=(4a^5+15)(4a^5-15)\)
8. \(196a^{8}-252a^4p+81p^2=(14a^4-9p)^2\)
9. \(144y^{10}+264y^5+121=(12y^5+11)^2\)
10. \(49p^2+70p+25=(7p+5)^2\)
11. \(169a^{6}-416a^3y+256y^2=(13a^3-16y)^2\)
12. \(x^2-169=(x-13)(x+13)\)