Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25b^{8}+70b^4s+49s^2\)
2. \(9y^2-64b^{10}\)
3. \(121q^{8}+44q^4y+4y^2\)
4. \(p^2-1\)
5. \(49a^{8}-1\)
6. \(y^2-121\)
7. \(y^2+28y+196\)
8. \(a^2-9\)
9. \(225b^{10}-121x^2\)
10. \(q^2+14q+49\)
11. \(p^2-169\)
12. \(225x^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25b^{8}+70b^4s+49s^2=(5b^4+7s)^2\)
2. \(9y^2-64b^{10}=(3y-8b^5)(3y+8b^5)\)
3. \(121q^{8}+44q^4y+4y^2=(11q^4+2y)^2\)
4. \(p^2-1=(p-1)(p+1)\)
5. \(49a^{8}-1=(7a^4+1)(7a^4-1)\)
6. \(y^2-121=(y+11)(y-11)\)
7. \(y^2+28y+196=(y+14)^2\)
8. \(a^2-9=(a-3)(a+3)\)
9. \(225b^{10}-121x^2=(15b^5+11x)(15b^5-11x)\)
10. \(q^2+14q+49=(q+7)^2\)
11. \(p^2-169=(p+13)(p-13)\)
12. \(225x^2-169=(15x+13)(15x-13)\)