Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4p^2+4p+1\)
2. \(a^2+16a+64\)
3. \(25b^2-90b+81\)
4. \(25p^2+90p+81\)
5. \(4b^{10}+12b^5q+9q^2\)
6. \(36y^2-121x^{6}\)
7. \(121q^2+132q+36\)
8. \(q^2-18q+81\)
9. \(x^2-49\)
10. \(100b^2+60b+9\)
11. \(x^2+2x+1\)
12. \(169s^{8}+182s^4+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4p^2+4p+1=(2p+1)^2\)
2. \(a^2+16a+64=(a+8)^2\)
3. \(25b^2-90b+81=(5b-9)^2\)
4. \(25p^2+90p+81=(5p+9)^2\)
5. \(4b^{10}+12b^5q+9q^2=(2b^5+3q)^2\)
6. \(36y^2-121x^{6}=(6y-11x^3)(6y+11x^3)\)
7. \(121q^2+132q+36=(11q+6)^2\)
8. \(q^2-18q+81=(q-9)^2\)
9. \(x^2-49=(x-7)(x+7)\)
10. \(100b^2+60b+9=(10b+3)^2\)
11. \(x^2+2x+1=(x+1)^2\)
12. \(169s^{8}+182s^4+49=(13s^4+7)^2\)