Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4y^2+20y+25\)
2. \(9q^{10}-169\)
3. \(169-256b^{10}\)
4. \(9x^{8}+6x^4+1\)
5. \(4q^2-121\)
6. \(q^2-10q+25\)
7. \(y^2-100\)
8. \(16s^2+24s+9\)
9. \(100q^{6}-60q^3y+9y^2\)
10. \(225y^2-169x^{14}\)
11. \(36x^{14}-49\)
12. \(121q^{12}-4y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4y^2+20y+25=(2y+5)^2\)
2. \(9q^{10}-169=(3q^5+13)(3q^5-13)\)
3. \(169-256b^{10}=(13-16b^5)(13+16b^5)\)
4. \(9x^{8}+6x^4+1=(3x^4+1)^2\)
5. \(4q^2-121=(2q+11)(2q-11)\)
6. \(q^2-10q+25=(q-5)^2\)
7. \(y^2-100=(y+10)(y-10)\)
8. \(16s^2+24s+9=(4s+3)^2\)
9. \(100q^{6}-60q^3y+9y^2=(10q^3-3y)^2\)
10. \(225y^2-169x^{14}=(15y-13x^7)(15y+13x^7)\)
11. \(36x^{14}-49=(6x^7+7)(6x^7-7)\)
12. \(121q^{12}-4y^2=(11q^6+2y)(11q^6-2y)\)