Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225s^{4}-16\)
2. \(-100y^2+1\)
3. \(x^2-100\)
4. \(64q^2-b^{4}\)
5. \(9a^2+60a+100\)
6. \(b^2+18b+81\)
7. \(y^2+6y+9\)
8. \(64x^2-81p^{16}\)
9. \(25q^{6}+110q^3+121\)
10. \(y^2-196\)
11. \(q^2+20q+100\)
12. \(9p^{10}-84p^5y+196y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225s^{4}-16=(15s^2+4)(15s^2-4)\)
2. \(-100y^2+1=(1-10y)(1+10y)\)
3. \(x^2-100=(x+10)(x-10)\)
4. \(64q^2-b^{4}=(8q-b^2)(8q+b^2)\)
5. \(9a^2+60a+100=(3a+10)^2\)
6. \(b^2+18b+81=(b+9)^2\)
7. \(y^2+6y+9=(y+3)^2\)
8. \(64x^2-81p^{16}=(8x-9p^8)(8x+9p^8)\)
9. \(25q^{6}+110q^3+121=(5q^3+11)^2\)
10. \(y^2-196=(y+14)(y-14)\)
11. \(q^2+20q+100=(q+10)^2\)
12. \(9p^{10}-84p^5y+196y^2=(3p^5-14y)^2\)