Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81-256b^{12}\)
2. \(4-25x^{16}\)
3. \(9p^{16}-169\)
4. \(-121a^2+81\)
5. \(144b^2+168b+49\)
6. \(x^2-100\)
7. \(4s^{4}+12s^2x+9x^2\)
8. \(81-196y^{4}\)
9. \(x^2-36\)
10. \(121p^{6}+264p^3y+144y^2\)
11. \(144s^2-121\)
12. \(100a^2-260a+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81-256b^{12}=(9-16b^6)(9+16b^6)\)
2. \(4-25x^{16}=(2-5x^8)(2+5x^8)\)
3. \(9p^{16}-169=(3p^8+13)(3p^8-13)\)
4. \(-121a^2+81=(9-11a)(9+11a)\)
5. \(144b^2+168b+49=(12b+7)^2\)
6. \(x^2-100=(x+10)(x-10)\)
7. \(4s^{4}+12s^2x+9x^2=(2s^2+3x)^2\)
8. \(81-196y^{4}=(9-14y^2)(9+14y^2)\)
9. \(x^2-36=(x-6)(x+6)\)
10. \(121p^{6}+264p^3y+144y^2=(11p^3+12y)^2\)
11. \(144s^2-121=(12s+11)(12s-11)\)
12. \(100a^2-260a+169=(10a-13)^2\)