Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16a^{6}+8a^3p+1p^2\)
2. \(-256y^2+25\)
3. \(b^2-8b+16\)
4. \(9a^{4}+66a^2+121\)
5. \(64a^{6}+208a^3+169\)
6. \(a^2+22a+121\)
7. \(p^2-49\)
8. \(25b^{6}-70b^3+49\)
9. \(-49y^2+144\)
10. \(36p^{10}+60p^5x+25x^2\)
11. \(36p^2-1\)
12. \(a^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16a^{6}+8a^3p+1p^2=(4a^3+p)^2\)
2. \(-256y^2+25=(5-16y)(5+16y)\)
3. \(b^2-8b+16=(b-4)^2\)
4. \(9a^{4}+66a^2+121=(3a^2+11)^2\)
5. \(64a^{6}+208a^3+169=(8a^3+13)^2\)
6. \(a^2+22a+121=(a+11)^2\)
7. \(p^2-49=(p-7)(p+7)\)
8. \(25b^{6}-70b^3+49=(5b^3-7)^2\)
9. \(-49y^2+144=(12-7y)(12+7y)\)
10. \(36p^{10}+60p^5x+25x^2=(6p^5+5x)^2\)
11. \(36p^2-1=(6p+1)(6p-1)\)
12. \(a^2-144=(a-12)(a+12)\)