Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4-25p^{14}\)
2. \(25q^{8}-64y^2\)
3. \(p^2-49\)
4. \(y^2-18y+81\)
5. \(100s^2+220s+121\)
6. \(100p^{4}-9y^2\)
7. \(121a^{6}+66a^3+9\)
8. \(s^2+24s+144\)
9. \(q^2-1\)
10. \(196x^2+84x+9\)
11. \(196b^{4}-169\)
12. \(16a^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4-25p^{14}=(2-5p^7)(2+5p^7)\)
2. \(25q^{8}-64y^2=(5q^4+8y)(5q^4-8y)\)
3. \(p^2-49=(p+7)(p-7)\)
4. \(y^2-18y+81=(y-9)^2\)
5. \(100s^2+220s+121=(10s+11)^2\)
6. \(100p^{4}-9y^2=(10p^2+3y)(10p^2-3y)\)
7. \(121a^{6}+66a^3+9=(11a^3+3)^2\)
8. \(s^2+24s+144=(s+12)^2\)
9. \(q^2-1=(q+1)(q-1)\)
10. \(196x^2+84x+9=(14x+3)^2\)
11. \(196b^{4}-169=(14b^2+13)(14b^2-13)\)
12. \(16a^2-121=(4a+11)(4a-11)\)