Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9a^{8}+24a^4s+16s^2\)
2. \(81b^{6}-72b^3q+16q^2\)
3. \(-9y^2+121\)
4. \(64p^{10}-240p^5+225\)
5. \(-64q^2+1\)
6. \(b^2+18b+81\)
7. \(x^2-12x+36\)
8. \(25b^2-144a^{16}\)
9. \(25p^{10}-121\)
10. \(64a^{4}-240a^2p+225p^2\)
11. \(169y^{12}-4\)
12. \(16b^{10}-24b^5q+9q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9a^{8}+24a^4s+16s^2=(3a^4+4s)^2\)
2. \(81b^{6}-72b^3q+16q^2=(9b^3-4q)^2\)
3. \(-9y^2+121=(11-3y)(11+3y)\)
4. \(64p^{10}-240p^5+225=(8p^5-15)^2\)
5. \(-64q^2+1=(1-8q)(1+8q)\)
6. \(b^2+18b+81=(b+9)^2\)
7. \(x^2-12x+36=(x-6)^2\)
8. \(25b^2-144a^{16}=(5b-12a^8)(5b+12a^8)\)
9. \(25p^{10}-121=(5p^5+11)(5p^5-11)\)
10. \(64a^{4}-240a^2p+225p^2=(8a^2-15p)^2\)
11. \(169y^{12}-4=(13y^6+2)(13y^6-2)\)
12. \(16b^{10}-24b^5q+9q^2=(4b^5-3q)^2\)