Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81s^2-64b^{16}\)
2. \(25p^{16}-36s^2\)
3. \(y^2-121\)
4. \(49s^{4}-182s^2+169\)
5. \(b^2-144\)
6. \(121-196y^{12}\)
7. \(b^2-16b+64\)
8. \(b^2+12b+36\)
9. \(-81b^2+4\)
10. \(144y^2-25\)
11. \(256a^2-480a+225\)
12. \(b^2-9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81s^2-64b^{16}=(9s-8b^8)(9s+8b^8)\)
2. \(25p^{16}-36s^2=(5p^8+6s)(5p^8-6s)\)
3. \(y^2-121=(y+11)(y-11)\)
4. \(49s^{4}-182s^2+169=(7s^2-13)^2\)
5. \(b^2-144=(b-12)(b+12)\)
6. \(121-196y^{12}=(11-14y^6)(11+14y^6)\)
7. \(b^2-16b+64=(b-8)^2\)
8. \(b^2+12b+36=(b+6)^2\)
9. \(-81b^2+4=(2-9b)(2+9b)\)
10. \(144y^2-25=(12y+5)(12y-5)\)
11. \(256a^2-480a+225=(16a-15)^2\)
12. \(b^2-9=(b+3)(b-3)\)