Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4q^2-9a^{10}\)
2. \(9s^2-30s+25\)
3. \(256q^2-121\)
4. \(9y^2-4s^{12}\)
5. \(q^2-144\)
6. \(256b^{14}-121y^2\)
7. \(y^2-49\)
8. \(-4x^2+121\)
9. \(y^2+18y+81\)
10. \(36s^{6}-1\)
11. \(x^2-4\)
12. \(q^2+8q+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4q^2-9a^{10}=(2q-3a^5)(2q+3a^5)\)
2. \(9s^2-30s+25=(3s-5)^2\)
3. \(256q^2-121=(16q+11)(16q-11)\)
4. \(9y^2-4s^{12}=(3y-2s^6)(3y+2s^6)\)
5. \(q^2-144=(q-12)(q+12)\)
6. \(256b^{14}-121y^2=(16b^7+11y)(16b^7-11y)\)
7. \(y^2-49=(y-7)(y+7)\)
8. \(-4x^2+121=(11-2x)(11+2x)\)
9. \(y^2+18y+81=(y+9)^2\)
10. \(36s^{6}-1=(6s^3+1)(6s^3-1)\)
11. \(x^2-4=(x-2)(x+2)\)
12. \(q^2+8q+16=(q+4)^2\)