Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-81\)
2. \(144a^2-25\)
3. \(q^2+8q+16\)
4. \(s^2+4s+4\)
5. \(9a^{6}-12a^3p+4p^2\)
6. \(y^2+26y+169\)
7. \(9x^{4}+48x^2+64\)
8. \(36q^{10}+156q^5+169\)
9. \(q^2-16\)
10. \(196a^{6}+140a^3+25\)
11. \(49-36q^{16}\)
12. \(64a^2-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-81=(a+9)(a-9)\)
2. \(144a^2-25=(12a+5)(12a-5)\)
3. \(q^2+8q+16=(q+4)^2\)
4. \(s^2+4s+4=(s+2)^2\)
5. \(9a^{6}-12a^3p+4p^2=(3a^3-2p)^2\)
6. \(y^2+26y+169=(y+13)^2\)
7. \(9x^{4}+48x^2+64=(3x^2+8)^2\)
8. \(36q^{10}+156q^5+169=(6q^5+13)^2\)
9. \(q^2-16=(q-4)(q+4)\)
10. \(196a^{6}+140a^3+25=(14a^3+5)^2\)
11. \(49-36q^{16}=(7-6q^8)(7+6q^8)\)
12. \(64a^2-25=(8a+5)(8a-5)\)