Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196b^{6}+420b^3+225\)
2. \(144b^{10}+120b^5x+25x^2\)
3. \(-16s^2+9\)
4. \(196x^{8}+252x^4+81\)
5. \(169a^{6}+390a^3s+225s^2\)
6. \(100a^{8}-9x^2\)
7. \(x^2-16\)
8. \(y^2+10y+25\)
9. \(256a^{8}-160a^4+25\)
10. \(196a^2+252a+81\)
11. \(36q^{10}+84q^5+49\)
12. \(9p^2-66p+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196b^{6}+420b^3+225=(14b^3+15)^2\)
2. \(144b^{10}+120b^5x+25x^2=(12b^5+5x)^2\)
3. \(-16s^2+9=(3-4s)(3+4s)\)
4. \(196x^{8}+252x^4+81=(14x^4+9)^2\)
5. \(169a^{6}+390a^3s+225s^2=(13a^3+15s)^2\)
6. \(100a^{8}-9x^2=(10a^4+3x)(10a^4-3x)\)
7. \(x^2-16=(x+4)(x-4)\)
8. \(y^2+10y+25=(y+5)^2\)
9. \(256a^{8}-160a^4+25=(16a^4-5)^2\)
10. \(196a^2+252a+81=(14a+9)^2\)
11. \(36q^{10}+84q^5+49=(6q^5+7)^2\)
12. \(9p^2-66p+121=(3p-11)^2\)