Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144b^2-121\)
2. \(256x^{6}+32x^3y+1y^2\)
3. \(q^2-30q+225\)
4. \(121b^{8}-169\)
5. \(9q^2-100\)
6. \(16p^2-88p+121\)
7. \(36b^{8}+12b^4x+1x^2\)
8. \(y^2-49\)
9. \(p^2-16\)
10. \(225s^2+330s+121\)
11. \(64a^{6}+16a^3b+1b^2\)
12. \(x^2-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144b^2-121=(12b+11)(12b-11)\)
2. \(256x^{6}+32x^3y+1y^2=(16x^3+y)^2\)
3. \(q^2-30q+225=(q-15)^2\)
4. \(121b^{8}-169=(11b^4+13)(11b^4-13)\)
5. \(9q^2-100=(3q+10)(3q-10)\)
6. \(16p^2-88p+121=(4p-11)^2\)
7. \(36b^{8}+12b^4x+1x^2=(6b^4+x)^2\)
8. \(y^2-49=(y-7)(y+7)\)
9. \(p^2-16=(p-4)(p+4)\)
10. \(225s^2+330s+121=(15s+11)^2\)
11. \(64a^{6}+16a^3b+1b^2=(8a^3+b)^2\)
12. \(x^2-1=(x+1)(x-1)\)