Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16y^2-49a^{6}\)
2. \(16p^2+24p+9\)
3. \(x^2+6x+9\)
4. \(256b^2-121\)
5. \(b^2-28b+196\)
6. \(p^2-20p+100\)
7. \(x^2-25\)
8. \(49b^2-100\)
9. \(9s^2-1\)
10. \(256b^2-25\)
11. \(4y^2-9p^{6}\)
12. \(a^2+2a+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16y^2-49a^{6}=(4y-7a^3)(4y+7a^3)\)
2. \(16p^2+24p+9=(4p+3)^2\)
3. \(x^2+6x+9=(x+3)^2\)
4. \(256b^2-121=(16b+11)(16b-11)\)
5. \(b^2-28b+196=(b-14)^2\)
6. \(p^2-20p+100=(p-10)^2\)
7. \(x^2-25=(x-5)(x+5)\)
8. \(49b^2-100=(7b+10)(7b-10)\)
9. \(9s^2-1=(3s+1)(3s-1)\)
10. \(256b^2-25=(16b+5)(16b-5)\)
11. \(4y^2-9p^{6}=(2y-3p^3)(2y+3p^3)\)
12. \(a^2+2a+1=(a+1)^2\)