Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81y^{6}+36y^3+4\)
2. \(a^2-10a+25\)
3. \(225x^{4}-121y^2\)
4. \(100b^{8}-60b^4q+9q^2\)
5. \(4y^2+4y+1\)
6. \(a^2-26a+169\)
7. \(144y^{8}+24y^4+1\)
8. \(-25b^2+1\)
9. \(p^2-4\)
10. \(a^2-18a+81\)
11. \(100p^{8}+140p^4x+49x^2\)
12. \(a^2+24a+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81y^{6}+36y^3+4=(9y^3+2)^2\)
2. \(a^2-10a+25=(a-5)^2\)
3. \(225x^{4}-121y^2=(15x^2+11y)(15x^2-11y)\)
4. \(100b^{8}-60b^4q+9q^2=(10b^4-3q)^2\)
5. \(4y^2+4y+1=(2y+1)^2\)
6. \(a^2-26a+169=(a-13)^2\)
7. \(144y^{8}+24y^4+1=(12y^4+1)^2\)
8. \(-25b^2+1=(1-5b)(1+5b)\)
9. \(p^2-4=(p+2)(p-2)\)
10. \(a^2-18a+81=(a-9)^2\)
11. \(100p^{8}+140p^4x+49x^2=(10p^4+7x)^2\)
12. \(a^2+24a+144=(a+12)^2\)