Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-1\)
2. \(121s^{6}+330s^3x+225x^2\)
3. \(p^2-25\)
4. \(p^2-26p+169\)
5. \(121q^{10}+132q^5x+36x^2\)
6. \(81a^{8}+252a^4x+196x^2\)
7. \(121y^2-36\)
8. \(169a^{8}-312a^4x+144x^2\)
9. \(256b^{10}+96b^5x+9x^2\)
10. \(y^2-30y+225\)
11. \(196x^2+28x+1\)
12. \(256y^{4}-96y^2+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-1=(a-1)(a+1)\)
2. \(121s^{6}+330s^3x+225x^2=(11s^3+15x)^2\)
3. \(p^2-25=(p-5)(p+5)\)
4. \(p^2-26p+169=(p-13)^2\)
5. \(121q^{10}+132q^5x+36x^2=(11q^5+6x)^2\)
6. \(81a^{8}+252a^4x+196x^2=(9a^4+14x)^2\)
7. \(121y^2-36=(11y+6)(11y-6)\)
8. \(169a^{8}-312a^4x+144x^2=(13a^4-12x)^2\)
9. \(256b^{10}+96b^5x+9x^2=(16b^5+3x)^2\)
10. \(y^2-30y+225=(y-15)^2\)
11. \(196x^2+28x+1=(14x+1)^2\)
12. \(256y^{4}-96y^2+9=(16y^2-3)^2\)