Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36p^{8}+132p^4x+121x^2\)
2. \(-256b^2+25\)
3. \(y^2+20y+100\)
4. \(169x^{4}-416x^2+256\)
5. \(49q^{6}+210q^3+225\)
6. \(s^2-100\)
7. \(y^2-25\)
8. \(169a^{10}-416a^5y+256y^2\)
9. \(9x^2-196b^{16}\)
10. \(81s^2-4p^{12}\)
11. \(y^2-9\)
12. \(25b^{4}+20b^2+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36p^{8}+132p^4x+121x^2=(6p^4+11x)^2\)
2. \(-256b^2+25=(5-16b)(5+16b)\)
3. \(y^2+20y+100=(y+10)^2\)
4. \(169x^{4}-416x^2+256=(13x^2-16)^2\)
5. \(49q^{6}+210q^3+225=(7q^3+15)^2\)
6. \(s^2-100=(s+10)(s-10)\)
7. \(y^2-25=(y-5)(y+5)\)
8. \(169a^{10}-416a^5y+256y^2=(13a^5-16y)^2\)
9. \(9x^2-196b^{16}=(3x-14b^8)(3x+14b^8)\)
10. \(81s^2-4p^{12}=(9s-2p^6)(9s+2p^6)\)
11. \(y^2-9=(y-3)(y+3)\)
12. \(25b^{4}+20b^2+4=(5b^2+2)^2\)