Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121x^2-256s^{12}\)
2. \(s^2-100\)
3. \(25x^2-121q^{8}\)
4. \(p^2-2p+1\)
5. \(100a^2+260a+169\)
6. \(1-100s^{6}\)
7. \(-16a^2+121\)
8. \(4b^{12}-169s^2\)
9. \(49a^{6}-42a^3y+9y^2\)
10. \(169q^2-416q+256\)
11. \(p^2-36\)
12. \(256a^2-288a+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121x^2-256s^{12}=(11x-16s^6)(11x+16s^6)\)
2. \(s^2-100=(s-10)(s+10)\)
3. \(25x^2-121q^{8}=(5x-11q^4)(5x+11q^4)\)
4. \(p^2-2p+1=(p-1)^2\)
5. \(100a^2+260a+169=(10a+13)^2\)
6. \(1-100s^{6}=(1-10s^3)(1+10s^3)\)
7. \(-16a^2+121=(11-4a)(11+4a)\)
8. \(4b^{12}-169s^2=(2b^6+13s)(2b^6-13s)\)
9. \(49a^{6}-42a^3y+9y^2=(7a^3-3y)^2\)
10. \(169q^2-416q+256=(13q-16)^2\)
11. \(p^2-36=(p-6)(p+6)\)
12. \(256a^2-288a+81=(16a-9)^2\)