Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49-36a^{10}\)
2. \(x^2-4\)
3. \(16y^{4}-56y^2+49\)
4. \(x^2-196\)
5. \(s^2-36\)
6. \(36b^{10}-121p^2\)
7. \(121p^2-44p+4\)
8. \(y^2-225\)
9. \(-4y^2+225\)
10. \(-81a^2+1\)
11. \(y^2-26y+169\)
12. \(36x^2-60x+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49-36a^{10}=(7-6a^5)(7+6a^5)\)
2. \(x^2-4=(x+2)(x-2)\)
3. \(16y^{4}-56y^2+49=(4y^2-7)^2\)
4. \(x^2-196=(x+14)(x-14)\)
5. \(s^2-36=(s+6)(s-6)\)
6. \(36b^{10}-121p^2=(6b^5+11p)(6b^5-11p)\)
7. \(121p^2-44p+4=(11p-2)^2\)
8. \(y^2-225=(y-15)(y+15)\)
9. \(-4y^2+225=(15-2y)(15+2y)\)
10. \(-81a^2+1=(1-9a)(1+9a)\)
11. \(y^2-26y+169=(y-13)^2\)
12. \(36x^2-60x+25=(6x-5)^2\)