Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^{4}-100y^2\)
2. \(-169b^2+36\)
3. \(196q^{8}+84q^4s+9s^2\)
4. \(a^2+16a+64\)
5. \(-256s^2+1\)
6. \(s^2-12s+36\)
7. \(y^2-169\)
8. \(64s^2-9\)
9. \(-49x^2+36\)
10. \(b^2+18b+81\)
11. \(y^2-24y+144\)
12. \(p^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^{4}-100y^2=(s^2+10y)(s^2-10y)\)
2. \(-169b^2+36=(6-13b)(6+13b)\)
3. \(196q^{8}+84q^4s+9s^2=(14q^4+3s)^2\)
4. \(a^2+16a+64=(a+8)^2\)
5. \(-256s^2+1=(1-16s)(1+16s)\)
6. \(s^2-12s+36=(s-6)^2\)
7. \(y^2-169=(y-13)(y+13)\)
8. \(64s^2-9=(8s+3)(8s-3)\)
9. \(-49x^2+36=(6-7x)(6+7x)\)
10. \(b^2+18b+81=(b+9)^2\)
11. \(y^2-24y+144=(y-12)^2\)
12. \(p^2-49=(p-7)(p+7)\)