Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36q^{4}+12q^2y+1y^2\)
2. \(x^2-12x+36\)
3. \(1-36x^{4}\)
4. \(16p^{6}-225y^2\)
5. \(64a^{6}-121x^2\)
6. \(16x^2-225b^{8}\)
7. \(q^2-24q+144\)
8. \(25q^2-256b^{4}\)
9. \(x^2-16\)
10. \(121x^{6}-1\)
11. \(q^2-16q+64\)
12. \(144s^{14}-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36q^{4}+12q^2y+1y^2=(6q^2+y)^2\)
2. \(x^2-12x+36=(x-6)^2\)
3. \(1-36x^{4}=(1-6x^2)(1+6x^2)\)
4. \(16p^{6}-225y^2=(4p^3+15y)(4p^3-15y)\)
5. \(64a^{6}-121x^2=(8a^3+11x)(8a^3-11x)\)
6. \(16x^2-225b^{8}=(4x-15b^4)(4x+15b^4)\)
7. \(q^2-24q+144=(q-12)^2\)
8. \(25q^2-256b^{4}=(5q-16b^2)(5q+16b^2)\)
9. \(x^2-16=(x-4)(x+4)\)
10. \(121x^{6}-1=(11x^3+1)(11x^3-1)\)
11. \(q^2-16q+64=(q-8)^2\)
12. \(144s^{14}-121=(12s^7+11)(12s^7-11)\)