Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4q^{14}-9\)
2. \(s^2-30s+225\)
3. \(x^2-169\)
4. \(81b^{16}-4y^2\)
5. \(9b^2-100\)
6. \(p^2+10p+25\)
7. \(4a^{6}+4a^3q+1q^2\)
8. \(121s^2-256b^{14}\)
9. \(q^2-36\)
10. \(a^2-121\)
11. \(36p^{8}-60p^4y+25y^2\)
12. \(25-256x^{16}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4q^{14}-9=(2q^7+3)(2q^7-3)\)
2. \(s^2-30s+225=(s-15)^2\)
3. \(x^2-169=(x+13)(x-13)\)
4. \(81b^{16}-4y^2=(9b^8+2y)(9b^8-2y)\)
5. \(9b^2-100=(3b+10)(3b-10)\)
6. \(p^2+10p+25=(p+5)^2\)
7. \(4a^{6}+4a^3q+1q^2=(2a^3+q)^2\)
8. \(121s^2-256b^{14}=(11s-16b^7)(11s+16b^7)\)
9. \(q^2-36=(q+6)(q-6)\)
10. \(a^2-121=(a+11)(a-11)\)
11. \(36p^{8}-60p^4y+25y^2=(6p^4-5y)^2\)
12. \(25-256x^{16}=(5-16x^8)(5+16x^8)\)