Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64x^2-80x+25\)
2. \(169s^{6}+364s^3+196\)
3. \(49b^2-121\)
4. \(a^{12}-144y^2\)
5. \(a^2-169\)
6. \(169b^2-156b+36\)
7. \(169x^2-16q^{14}\)
8. \(256s^2+32s+1\)
9. \(25q^2+60q+36\)
10. \(169q^{10}-81\)
11. \(225q^2-121\)
12. \(49-4s^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64x^2-80x+25=(8x-5)^2\)
2. \(169s^{6}+364s^3+196=(13s^3+14)^2\)
3. \(49b^2-121=(7b+11)(7b-11)\)
4. \(a^{12}-144y^2=(a^6+12y)(a^6-12y)\)
5. \(a^2-169=(a+13)(a-13)\)
6. \(169b^2-156b+36=(13b-6)^2\)
7. \(169x^2-16q^{14}=(13x-4q^7)(13x+4q^7)\)
8. \(256s^2+32s+1=(16s+1)^2\)
9. \(25q^2+60q+36=(5q+6)^2\)
10. \(169q^{10}-81=(13q^5+9)(13q^5-9)\)
11. \(225q^2-121=(15q+11)(15q-11)\)
12. \(49-4s^{12}=(7-2s^6)(7+2s^6)\)