Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-256x^2+1\)
2. \(121-49x^{16}\)
3. \(64y^{6}+16y^3+1\)
4. \(225a^{10}+240a^5q+64q^2\)
5. \(64-81a^{10}\)
6. \(144y^2-264y+121\)
7. \(144b^{6}-1\)
8. \(256b^{6}-225s^2\)
9. \(16s^2-25q^{10}\)
10. \(121q^2-36p^{14}\)
11. \(25p^2-256a^{8}\)
12. \(9s^2-4b^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-256x^2+1=(1-16x)(1+16x)\)
2. \(121-49x^{16}=(11-7x^8)(11+7x^8)\)
3. \(64y^{6}+16y^3+1=(8y^3+1)^2\)
4. \(225a^{10}+240a^5q+64q^2=(15a^5+8q)^2\)
5. \(64-81a^{10}=(8-9a^5)(8+9a^5)\)
6. \(144y^2-264y+121=(12y-11)^2\)
7. \(144b^{6}-1=(12b^3+1)(12b^3-1)\)
8. \(256b^{6}-225s^2=(16b^3+15s)(16b^3-15s)\)
9. \(16s^2-25q^{10}=(4s-5q^5)(4s+5q^5)\)
10. \(121q^2-36p^{14}=(11q-6p^7)(11q+6p^7)\)
11. \(25p^2-256a^{8}=(5p-16a^4)(5p+16a^4)\)
12. \(9s^2-4b^{12}=(3s-2b^6)(3s+2b^6)\)