Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121a^2+22a+1\)
2. \(b^2-144\)
3. \(225-256s^{10}\)
4. \(64a^{6}+208a^3p+169p^2\)
5. \(4x^2+60x+225\)
6. \(49q^{16}-225\)
7. \(p^2-4p+4\)
8. \(16s^2-81\)
9. \(-36x^2+121\)
10. \(-81q^2+49\)
11. \(4a^{14}-9\)
12. \(64y^2-112y+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121a^2+22a+1=(11a+1)^2\)
2. \(b^2-144=(b+12)(b-12)\)
3. \(225-256s^{10}=(15-16s^5)(15+16s^5)\)
4. \(64a^{6}+208a^3p+169p^2=(8a^3+13p)^2\)
5. \(4x^2+60x+225=(2x+15)^2\)
6. \(49q^{16}-225=(7q^8+15)(7q^8-15)\)
7. \(p^2-4p+4=(p-2)^2\)
8. \(16s^2-81=(4s+9)(4s-9)\)
9. \(-36x^2+121=(11-6x)(11+6x)\)
10. \(-81q^2+49=(7-9q)(7+9q)\)
11. \(4a^{14}-9=(2a^7+3)(2a^7-3)\)
12. \(64y^2-112y+49=(8y-7)^2\)