Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-4p+4\)
2. \(p^2+16p+64\)
3. \(p^2-64\)
4. \(49y^2-100x^{6}\)
5. \(x^2-2x+1\)
6. \(121a^{6}-176a^3s+64s^2\)
7. \(25x^2+20x+4\)
8. \(a^2+4a+4\)
9. \(25-81a^{16}\)
10. \(-121p^2+256\)
11. \(x^2-22x+121\)
12. \(36y^{4}+84y^2+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-4p+4=(p-2)^2\)
2. \(p^2+16p+64=(p+8)^2\)
3. \(p^2-64=(p+8)(p-8)\)
4. \(49y^2-100x^{6}=(7y-10x^3)(7y+10x^3)\)
5. \(x^2-2x+1=(x-1)^2\)
6. \(121a^{6}-176a^3s+64s^2=(11a^3-8s)^2\)
7. \(25x^2+20x+4=(5x+2)^2\)
8. \(a^2+4a+4=(a+2)^2\)
9. \(25-81a^{16}=(5-9a^8)(5+9a^8)\)
10. \(-121p^2+256=(16-11p)(16+11p)\)
11. \(x^2-22x+121=(x-11)^2\)
12. \(36y^{4}+84y^2+49=(6y^2+7)^2\)