Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-36a^2+121\)
2. \(256s^{6}-160s^3x+25x^2\)
3. \(121q^2-352q+256\)
4. \(25-36x^{14}\)
5. \(25y^{6}-140y^3+196\)
6. \(q^2-26q+169\)
7. \(256x^{8}-225\)
8. \(25p^2-169b^{12}\)
9. \(4s^{6}+4s^3y+1y^2\)
10. \(100x^{8}+260x^4+169\)
11. \(a^2-9\)
12. \(a^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-36a^2+121=(11-6a)(11+6a)\)
2. \(256s^{6}-160s^3x+25x^2=(16s^3-5x)^2\)
3. \(121q^2-352q+256=(11q-16)^2\)
4. \(25-36x^{14}=(5-6x^7)(5+6x^7)\)
5. \(25y^{6}-140y^3+196=(5y^3-14)^2\)
6. \(q^2-26q+169=(q-13)^2\)
7. \(256x^{8}-225=(16x^4+15)(16x^4-15)\)
8. \(25p^2-169b^{12}=(5p-13b^6)(5p+13b^6)\)
9. \(4s^{6}+4s^3y+1y^2=(2s^3+y)^2\)
10. \(100x^{8}+260x^4+169=(10x^4+13)^2\)
11. \(a^2-9=(a-3)(a+3)\)
12. \(a^2-121=(a+11)(a-11)\)