Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-121\)
2. \(p^2-24p+144\)
3. \(a^2-2a+1\)
4. \(49p^2-1\)
5. \(y^2+6y+9\)
6. \(225b^2-121\)
7. \(x^2-121\)
8. \(-64a^2+225\)
9. \(p^{14}-225q^2\)
10. \(256x^{10}-96x^5+9\)
11. \(196b^{8}-121x^2\)
12. \(x^2+2x+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-121=(y+11)(y-11)\)
2. \(p^2-24p+144=(p-12)^2\)
3. \(a^2-2a+1=(a-1)^2\)
4. \(49p^2-1=(7p+1)(7p-1)\)
5. \(y^2+6y+9=(y+3)^2\)
6. \(225b^2-121=(15b+11)(15b-11)\)
7. \(x^2-121=(x-11)(x+11)\)
8. \(-64a^2+225=(15-8a)(15+8a)\)
9. \(p^{14}-225q^2=(p^7+15q)(p^7-15q)\)
10. \(256x^{10}-96x^5+9=(16x^5-3)^2\)
11. \(196b^{8}-121x^2=(14b^4+11x)(14b^4-11x)\)
12. \(x^2+2x+1=(x+1)^2\)