Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-81\)
2. \(9a^{6}+60a^3x+100x^2\)
3. \(225-16s^{4}\)
4. \(y^2-196\)
5. \(196p^{4}+28p^2+1\)
6. \(9s^2+66s+121\)
7. \(25s^2+70s+49\)
8. \(100a^2-260a+169\)
9. \(49y^2-100s^{4}\)
10. \(b^2-28b+196\)
11. \(p^2-16p+64\)
12. \(256p^{10}+96p^5y+9y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-81=(s+9)(s-9)\)
2. \(9a^{6}+60a^3x+100x^2=(3a^3+10x)^2\)
3. \(225-16s^{4}=(15-4s^2)(15+4s^2)\)
4. \(y^2-196=(y+14)(y-14)\)
5. \(196p^{4}+28p^2+1=(14p^2+1)^2\)
6. \(9s^2+66s+121=(3s+11)^2\)
7. \(25s^2+70s+49=(5s+7)^2\)
8. \(100a^2-260a+169=(10a-13)^2\)
9. \(49y^2-100s^{4}=(7y-10s^2)(7y+10s^2)\)
10. \(b^2-28b+196=(b-14)^2\)
11. \(p^2-16p+64=(p-8)^2\)
12. \(256p^{10}+96p^5y+9y^2=(16p^5+3y)^2\)