Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64a^2+144a+81\)
2. \(121p^{10}-286p^5+169\)
3. \(a^2-4a+4\)
4. \(64p^{6}+16p^3+1\)
5. \(64x^2+176x+121\)
6. \(-121x^2+49\)
7. \(81p^{10}+72p^5y+16y^2\)
8. \(b^{6}-36q^2\)
9. \(q^2-25\)
10. \(81p^{6}-72p^3x+16x^2\)
11. \(36y^{8}-25\)
12. \(81q^2-72q+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64a^2+144a+81=(8a+9)^2\)
2. \(121p^{10}-286p^5+169=(11p^5-13)^2\)
3. \(a^2-4a+4=(a-2)^2\)
4. \(64p^{6}+16p^3+1=(8p^3+1)^2\)
5. \(64x^2+176x+121=(8x+11)^2\)
6. \(-121x^2+49=(7-11x)(7+11x)\)
7. \(81p^{10}+72p^5y+16y^2=(9p^5+4y)^2\)
8. \(b^{6}-36q^2=(b^3+6q)(b^3-6q)\)
9. \(q^2-25=(q+5)(q-5)\)
10. \(81p^{6}-72p^3x+16x^2=(9p^3-4x)^2\)
11. \(36y^{8}-25=(6y^4+5)(6y^4-5)\)
12. \(81q^2-72q+16=(9q-4)^2\)