Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121x^{8}-154x^4y+49y^2\)
2. \(y^2+16y+64\)
3. \(q^2-22q+121\)
4. \(q^2-26q+169\)
5. \(49s^2-100a^{4}\)
6. \(36b^{16}-25q^2\)
7. \(225-64p^{14}\)
8. \(121p^2+264p+144\)
9. \(100a^2+20a+1\)
10. \(b^2-16\)
11. \(16p^{6}+72p^3+81\)
12. \(144b^{6}-168b^3+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121x^{8}-154x^4y+49y^2=(11x^4-7y)^2\)
2. \(y^2+16y+64=(y+8)^2\)
3. \(q^2-22q+121=(q-11)^2\)
4. \(q^2-26q+169=(q-13)^2\)
5. \(49s^2-100a^{4}=(7s-10a^2)(7s+10a^2)\)
6. \(36b^{16}-25q^2=(6b^8+5q)(6b^8-5q)\)
7. \(225-64p^{14}=(15-8p^7)(15+8p^7)\)
8. \(121p^2+264p+144=(11p+12)^2\)
9. \(100a^2+20a+1=(10a+1)^2\)
10. \(b^2-16=(b+4)(b-4)\)
11. \(16p^{6}+72p^3+81=(4p^3+9)^2\)
12. \(144b^{6}-168b^3+49=(12b^3-7)^2\)