Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-16\)
2. \(225b^{12}-49q^2\)
3. \(x^2-36\)
4. \(a^2+10a+25\)
5. \(169p^2+78p+9\)
6. \(81a^2-144a+64\)
7. \(b^2+16b+64\)
8. \(16q^2-25p^{10}\)
9. \(256s^{14}-81y^2\)
10. \(121q^2+198q+81\)
11. \(36s^2-121\)
12. \(x^2-16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-16=(s+4)(s-4)\)
2. \(225b^{12}-49q^2=(15b^6+7q)(15b^6-7q)\)
3. \(x^2-36=(x+6)(x-6)\)
4. \(a^2+10a+25=(a+5)^2\)
5. \(169p^2+78p+9=(13p+3)^2\)
6. \(81a^2-144a+64=(9a-8)^2\)
7. \(b^2+16b+64=(b+8)^2\)
8. \(16q^2-25p^{10}=(4q-5p^5)(4q+5p^5)\)
9. \(256s^{14}-81y^2=(16s^7+9y)(16s^7-9y)\)
10. \(121q^2+198q+81=(11q+9)^2\)
11. \(36s^2-121=(6s+11)(6s-11)\)
12. \(x^2-16=(x-4)(x+4)\)