Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225y^{16}-64\)
2. \(-256b^2+169\)
3. \(a^2-12a+36\)
4. \(b^2-64\)
5. \(64x^2+144x+81\)
6. \(64a^2-112a+49\)
7. \(9s^2-196a^{8}\)
8. \(-144x^2+25\)
9. \(256b^{4}+416b^2s+169s^2\)
10. \(p^2-121\)
11. \(4y^{8}+28y^4+49\)
12. \(169-4b^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225y^{16}-64=(15y^8+8)(15y^8-8)\)
2. \(-256b^2+169=(13-16b)(13+16b)\)
3. \(a^2-12a+36=(a-6)^2\)
4. \(b^2-64=(b+8)(b-8)\)
5. \(64x^2+144x+81=(8x+9)^2\)
6. \(64a^2-112a+49=(8a-7)^2\)
7. \(9s^2-196a^{8}=(3s-14a^4)(3s+14a^4)\)
8. \(-144x^2+25=(5-12x)(5+12x)\)
9. \(256b^{4}+416b^2s+169s^2=(16b^2+13s)^2\)
10. \(p^2-121=(p+11)(p-11)\)
11. \(4y^{8}+28y^4+49=(2y^4+7)^2\)
12. \(169-4b^{12}=(13-2b^6)(13+2b^6)\)