Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-36\)
2. \(169a^{8}+52a^4b+4b^2\)
3. \(x^2-1\)
4. \(256x^{8}+32x^4y+1y^2\)
5. \(y^2-6y+9\)
6. \(25y^{10}-1\)
7. \(81a^{6}+144a^3p+64p^2\)
8. \(b^2-196\)
9. \(225y^{6}+330y^3+121\)
10. \(4x^{8}+4x^4+1\)
11. \(a^2+2a+1\)
12. \(q^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-36=(p+6)(p-6)\)
2. \(169a^{8}+52a^4b+4b^2=(13a^4+2b)^2\)
3. \(x^2-1=(x-1)(x+1)\)
4. \(256x^{8}+32x^4y+1y^2=(16x^4+y)^2\)
5. \(y^2-6y+9=(y-3)^2\)
6. \(25y^{10}-1=(5y^5+1)(5y^5-1)\)
7. \(81a^{6}+144a^3p+64p^2=(9a^3+8p)^2\)
8. \(b^2-196=(b-14)(b+14)\)
9. \(225y^{6}+330y^3+121=(15y^3+11)^2\)
10. \(4x^{8}+4x^4+1=(2x^4+1)^2\)
11. \(a^2+2a+1=(a+1)^2\)
12. \(q^2-121=(q+11)(q-11)\)