Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9a^{10}+24a^5q+16q^2\)
2. \(144p^2+120p+25\)
3. \(196b^2-a^{8}\)
4. \(16q^2+56q+49\)
5. \(121p^{4}-220p^2q+100q^2\)
6. \(169q^{4}-49\)
7. \(49p^{6}+154p^3x+121x^2\)
8. \(a^2-16\)
9. \(64s^2+144s+81\)
10. \(169q^2-156q+36\)
11. \(25p^2-36b^{12}\)
12. \(q^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9a^{10}+24a^5q+16q^2=(3a^5+4q)^2\)
2. \(144p^2+120p+25=(12p+5)^2\)
3. \(196b^2-a^{8}=(14b-a^4)(14b+a^4)\)
4. \(16q^2+56q+49=(4q+7)^2\)
5. \(121p^{4}-220p^2q+100q^2=(11p^2-10q)^2\)
6. \(169q^{4}-49=(13q^2+7)(13q^2-7)\)
7. \(49p^{6}+154p^3x+121x^2=(7p^3+11x)^2\)
8. \(a^2-16=(a+4)(a-4)\)
9. \(64s^2+144s+81=(8s+9)^2\)
10. \(169q^2-156q+36=(13q-6)^2\)
11. \(25p^2-36b^{12}=(5p-6b^6)(5p+6b^6)\)
12. \(q^2-121=(q-11)(q+11)\)