Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256p^2+416p+169\)
2. \(144b^{6}-25y^2\)
3. \(64b^{6}-112b^3+49\)
4. \(-16x^2+49\)
5. \(64x^2-25b^{16}\)
6. \(y^2-1\)
7. \(121x^2-44x+4\)
8. \(121q^2-196\)
9. \(225y^{10}-16\)
10. \(144b^{8}+24b^4y+1y^2\)
11. \(a^2-49\)
12. \(36a^{4}-60a^2+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256p^2+416p+169=(16p+13)^2\)
2. \(144b^{6}-25y^2=(12b^3+5y)(12b^3-5y)\)
3. \(64b^{6}-112b^3+49=(8b^3-7)^2\)
4. \(-16x^2+49=(7-4x)(7+4x)\)
5. \(64x^2-25b^{16}=(8x-5b^8)(8x+5b^8)\)
6. \(y^2-1=(y-1)(y+1)\)
7. \(121x^2-44x+4=(11x-2)^2\)
8. \(121q^2-196=(11q+14)(11q-14)\)
9. \(225y^{10}-16=(15y^5+4)(15y^5-4)\)
10. \(144b^{8}+24b^4y+1y^2=(12b^4+y)^2\)
11. \(a^2-49=(a+7)(a-7)\)
12. \(36a^{4}-60a^2+25=(6a^2-5)^2\)