Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9x^2-30x+25\)
2. \(4a^2+4a+1\)
3. \(a^2+4a+4\)
4. \(16b^2-9\)
5. \(q^2+12q+36\)
6. \(100b^2-1\)
7. \(a^2-10a+25\)
8. \(-169b^2+4\)
9. \(-16s^2+49\)
10. \(100q^{8}-121\)
11. \(144x^2-25\)
12. \(64s^{6}+240s^3+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9x^2-30x+25=(3x-5)^2\)
2. \(4a^2+4a+1=(2a+1)^2\)
3. \(a^2+4a+4=(a+2)^2\)
4. \(16b^2-9=(4b+3)(4b-3)\)
5. \(q^2+12q+36=(q+6)^2\)
6. \(100b^2-1=(10b+1)(10b-1)\)
7. \(a^2-10a+25=(a-5)^2\)
8. \(-169b^2+4=(2-13b)(2+13b)\)
9. \(-16s^2+49=(7-4s)(7+4s)\)
10. \(100q^{8}-121=(10q^4+11)(10q^4-11)\)
11. \(144x^2-25=(12x+5)(12x-5)\)
12. \(64s^{6}+240s^3+225=(8s^3+15)^2\)