Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225b^{16}-16x^2\)
2. \(4y^2+20y+25\)
3. \(121a^{6}-100q^2\)
4. \(y^2-4\)
5. \(x^2-121\)
6. \(y^2-49\)
7. \(196b^{10}+140b^5+25\)
8. \(169p^{6}+364p^3x+196x^2\)
9. \(4q^{16}-121\)
10. \(s^2-25\)
11. \(169-225p^{8}\)
12. \(q^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225b^{16}-16x^2=(15b^8+4x)(15b^8-4x)\)
2. \(4y^2+20y+25=(2y+5)^2\)
3. \(121a^{6}-100q^2=(11a^3+10q)(11a^3-10q)\)
4. \(y^2-4=(y-2)(y+2)\)
5. \(x^2-121=(x-11)(x+11)\)
6. \(y^2-49=(y+7)(y-7)\)
7. \(196b^{10}+140b^5+25=(14b^5+5)^2\)
8. \(169p^{6}+364p^3x+196x^2=(13p^3+14x)^2\)
9. \(4q^{16}-121=(2q^8+11)(2q^8-11)\)
10. \(s^2-25=(s-5)(s+5)\)
11. \(169-225p^{8}=(13-15p^4)(13+15p^4)\)
12. \(q^2-49=(q-7)(q+7)\)