Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25p^2+110p+121\)
2. \(x^2-36\)
3. \(25-144b^{10}\)
4. \(a^2-49\)
5. \(64x^{4}+16x^2+1\)
6. \(p^2-196\)
7. \(y^2+22y+121\)
8. \(y^2-100\)
9. \(a^2+14a+49\)
10. \(121b^{6}-220b^3y+100y^2\)
11. \(-64q^2+81\)
12. \(4q^{10}+52q^5+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25p^2+110p+121=(5p+11)^2\)
2. \(x^2-36=(x-6)(x+6)\)
3. \(25-144b^{10}=(5-12b^5)(5+12b^5)\)
4. \(a^2-49=(a+7)(a-7)\)
5. \(64x^{4}+16x^2+1=(8x^2+1)^2\)
6. \(p^2-196=(p-14)(p+14)\)
7. \(y^2+22y+121=(y+11)^2\)
8. \(y^2-100=(y+10)(y-10)\)
9. \(a^2+14a+49=(a+7)^2\)
10. \(121b^{6}-220b^3y+100y^2=(11b^3-10y)^2\)
11. \(-64q^2+81=(9-8q)(9+8q)\)
12. \(4q^{10}+52q^5+169=(2q^5+13)^2\)