Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-4x^2+121\)
2. \(64s^{4}-240s^2+225\)
3. \(64a^{8}+112a^4b+49b^2\)
4. \(36y^{8}+156y^4+169\)
5. \(49b^{6}+14b^3x+1x^2\)
6. \(a^2-28a+196\)
7. \(16b^2-120b+225\)
8. \(49x^2+70x+25\)
9. \(225q^2-210q+49\)
10. \(196q^{8}-169x^2\)
11. \(121q^2-110q+25\)
12. \(4s^{8}+20s^4+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-4x^2+121=(11-2x)(11+2x)\)
2. \(64s^{4}-240s^2+225=(8s^2-15)^2\)
3. \(64a^{8}+112a^4b+49b^2=(8a^4+7b)^2\)
4. \(36y^{8}+156y^4+169=(6y^4+13)^2\)
5. \(49b^{6}+14b^3x+1x^2=(7b^3+x)^2\)
6. \(a^2-28a+196=(a-14)^2\)
7. \(16b^2-120b+225=(4b-15)^2\)
8. \(49x^2+70x+25=(7x+5)^2\)
9. \(225q^2-210q+49=(15q-7)^2\)
10. \(196q^{8}-169x^2=(14q^4+13x)(14q^4-13x)\)
11. \(121q^2-110q+25=(11q-5)^2\)
12. \(4s^{8}+20s^4+25=(2s^4+5)^2\)