Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+8s+16\)
2. \(64x^2+144x+81\)
3. \(9p^{4}-12p^2s+4s^2\)
4. \(36y^2-a^{4}\)
5. \(p^2-14p+49\)
6. \(s^2-1\)
7. \(q^2+12q+36\)
8. \(49q^{10}-9x^2\)
9. \(x^2-30x+225\)
10. \(169a^{4}-16p^2\)
11. \(49p^{16}-100y^2\)
12. \(64b^{8}+240b^4q+225q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+8s+16=(s+4)^2\)
2. \(64x^2+144x+81=(8x+9)^2\)
3. \(9p^{4}-12p^2s+4s^2=(3p^2-2s)^2\)
4. \(36y^2-a^{4}=(6y-a^2)(6y+a^2)\)
5. \(p^2-14p+49=(p-7)^2\)
6. \(s^2-1=(s+1)(s-1)\)
7. \(q^2+12q+36=(q+6)^2\)
8. \(49q^{10}-9x^2=(7q^5+3x)(7q^5-3x)\)
9. \(x^2-30x+225=(x-15)^2\)
10. \(169a^{4}-16p^2=(13a^2+4p)(13a^2-4p)\)
11. \(49p^{16}-100y^2=(7p^8+10y)(7p^8-10y)\)
12. \(64b^{8}+240b^4q+225q^2=(8b^4+15q)^2\)