Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9x^2-49\)
2. \(x^2-169\)
3. \(4p^{10}+28p^5+49\)
4. \(y^2-121\)
5. \(p^2+16p+64\)
6. \(49p^{10}-84p^5+36\)
7. \(9x^2-64b^{8}\)
8. \(64q^{8}+48q^4x+9x^2\)
9. \(196a^{4}+28a^2y+1y^2\)
10. \(49q^{10}+154q^5+121\)
11. \(64q^{4}-240q^2+225\)
12. \(y^2+18y+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9x^2-49=(3x+7)(3x-7)\)
2. \(x^2-169=(x-13)(x+13)\)
3. \(4p^{10}+28p^5+49=(2p^5+7)^2\)
4. \(y^2-121=(y+11)(y-11)\)
5. \(p^2+16p+64=(p+8)^2\)
6. \(49p^{10}-84p^5+36=(7p^5-6)^2\)
7. \(9x^2-64b^{8}=(3x-8b^4)(3x+8b^4)\)
8. \(64q^{8}+48q^4x+9x^2=(8q^4+3x)^2\)
9. \(196a^{4}+28a^2y+1y^2=(14a^2+y)^2\)
10. \(49q^{10}+154q^5+121=(7q^5+11)^2\)
11. \(64q^{4}-240q^2+225=(8q^2-15)^2\)
12. \(y^2+18y+81=(y+9)^2\)