Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16y^2-81\)
2. \(100x^{4}+220x^2+121\)
3. \(100x^2-60x+9\)
4. \(s^2-64\)
5. \(64-121b^{14}\)
6. \(y^2-16\)
7. \(100a^{12}-49p^2\)
8. \(256a^{6}+32a^3b+1b^2\)
9. \(-25y^2+121\)
10. \(s^2-49\)
11. \(s^2-225\)
12. \(b^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16y^2-81=(4y+9)(4y-9)\)
2. \(100x^{4}+220x^2+121=(10x^2+11)^2\)
3. \(100x^2-60x+9=(10x-3)^2\)
4. \(s^2-64=(s-8)(s+8)\)
5. \(64-121b^{14}=(8-11b^7)(8+11b^7)\)
6. \(y^2-16=(y-4)(y+4)\)
7. \(100a^{12}-49p^2=(10a^6+7p)(10a^6-7p)\)
8. \(256a^{6}+32a^3b+1b^2=(16a^3+b)^2\)
9. \(-25y^2+121=(11-5y)(11+5y)\)
10. \(s^2-49=(s-7)(s+7)\)
11. \(s^2-225=(s+15)(s-15)\)
12. \(b^2-144=(b+12)(b-12)\)