Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25-16x^{8}\)
2. \(-4q^2+225\)
3. \(b^2+4b+4\)
4. \(225s^{8}+120s^4+16\)
5. \(b^2+10b+25\)
6. \(25p^{8}+80p^4s+64s^2\)
7. \(b^2-25\)
8. \(121b^2-1\)
9. \(49q^2+84q+36\)
10. \(169b^{6}-156b^3+36\)
11. \(64p^2-169b^{16}\)
12. \(x^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25-16x^{8}=(5-4x^4)(5+4x^4)\)
2. \(-4q^2+225=(15-2q)(15+2q)\)
3. \(b^2+4b+4=(b+2)^2\)
4. \(225s^{8}+120s^4+16=(15s^4+4)^2\)
5. \(b^2+10b+25=(b+5)^2\)
6. \(25p^{8}+80p^4s+64s^2=(5p^4+8s)^2\)
7. \(b^2-25=(b+5)(b-5)\)
8. \(121b^2-1=(11b+1)(11b-1)\)
9. \(49q^2+84q+36=(7q+6)^2\)
10. \(169b^{6}-156b^3+36=(13b^3-6)^2\)
11. \(64p^2-169b^{16}=(8p-13b^8)(8p+13b^8)\)
12. \(x^2-144=(x+12)(x-12)\)