Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2+30a+225\)
2. \(49x^{12}-1\)
3. \(49x^2+168x+144\)
4. \(x^2-18x+81\)
5. \(q^2+4q+4\)
6. \(36a^{10}+60a^5+25\)
7. \(9s^2-49\)
8. \(100-81y^{4}\)
9. \(p^2-225\)
10. \(225b^{4}+240b^2+64\)
11. \(100q^{4}-60q^2x+9x^2\)
12. \(25-36s^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2+30a+225=(a+15)^2\)
2. \(49x^{12}-1=(7x^6+1)(7x^6-1)\)
3. \(49x^2+168x+144=(7x+12)^2\)
4. \(x^2-18x+81=(x-9)^2\)
5. \(q^2+4q+4=(q+2)^2\)
6. \(36a^{10}+60a^5+25=(6a^5+5)^2\)
7. \(9s^2-49=(3s+7)(3s-7)\)
8. \(100-81y^{4}=(10-9y^2)(10+9y^2)\)
9. \(p^2-225=(p+15)(p-15)\)
10. \(225b^{4}+240b^2+64=(15b^2+8)^2\)
11. \(100q^{4}-60q^2x+9x^2=(10q^2-3x)^2\)
12. \(25-36s^{10}=(5-6s^5)(5+6s^5)\)