Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121b^{4}-286b^2+169\)
2. \(4a^{6}-225y^2\)
3. \(256q^2-160q+25\)
4. \(a^2-225\)
5. \(81p^2-169b^{12}\)
6. \(64q^{10}+16q^5s+1s^2\)
7. \(100a^{14}-49y^2\)
8. \(100a^{4}-180a^2s+81s^2\)
9. \(121y^2-4a^{6}\)
10. \(4x^2+44x+121\)
11. \(225b^{6}-49q^2\)
12. \(p^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121b^{4}-286b^2+169=(11b^2-13)^2\)
2. \(4a^{6}-225y^2=(2a^3+15y)(2a^3-15y)\)
3. \(256q^2-160q+25=(16q-5)^2\)
4. \(a^2-225=(a+15)(a-15)\)
5. \(81p^2-169b^{12}=(9p-13b^6)(9p+13b^6)\)
6. \(64q^{10}+16q^5s+1s^2=(8q^5+s)^2\)
7. \(100a^{14}-49y^2=(10a^7+7y)(10a^7-7y)\)
8. \(100a^{4}-180a^2s+81s^2=(10a^2-9s)^2\)
9. \(121y^2-4a^{6}=(11y-2a^3)(11y+2a^3)\)
10. \(4x^2+44x+121=(2x+11)^2\)
11. \(225b^{6}-49q^2=(15b^3+7q)(15b^3-7q)\)
12. \(p^2-49=(p+7)(p-7)\)