Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-4\)
2. \(a^2-36\)
3. \(169a^{8}+364a^4p+196p^2\)
4. \(s^2-14s+49\)
5. \(25a^{4}-20a^2+4\)
6. \(p^2-20p+100\)
7. \(b^2-2b+1\)
8. \(-144a^2+121\)
9. \(225b^{6}-60b^3x+4x^2\)
10. \(144q^{16}-121\)
11. \(225a^2-16\)
12. \(64p^{10}+208p^5s+169s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-4=(b-2)(b+2)\)
2. \(a^2-36=(a-6)(a+6)\)
3. \(169a^{8}+364a^4p+196p^2=(13a^4+14p)^2\)
4. \(s^2-14s+49=(s-7)^2\)
5. \(25a^{4}-20a^2+4=(5a^2-2)^2\)
6. \(p^2-20p+100=(p-10)^2\)
7. \(b^2-2b+1=(b-1)^2\)
8. \(-144a^2+121=(11-12a)(11+12a)\)
9. \(225b^{6}-60b^3x+4x^2=(15b^3-2x)^2\)
10. \(144q^{16}-121=(12q^8+11)(12q^8-11)\)
11. \(225a^2-16=(15a+4)(15a-4)\)
12. \(64p^{10}+208p^5s+169s^2=(8p^5+13s)^2\)