Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-16b+64\)
2. \(-100y^2+1\)
3. \(144s^{4}-168s^2+49\)
4. \(-64y^2+1\)
5. \(100x^2-260x+169\)
6. \(x^2-100\)
7. \(225q^2-60q+4\)
8. \(121x^{4}-44x^2y+4y^2\)
9. \(169a^2+364a+196\)
10. \(16q^2+120q+225\)
11. \(1-144x^{12}\)
12. \(81b^{8}-198b^4+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-16b+64=(b-8)^2\)
2. \(-100y^2+1=(1-10y)(1+10y)\)
3. \(144s^{4}-168s^2+49=(12s^2-7)^2\)
4. \(-64y^2+1=(1-8y)(1+8y)\)
5. \(100x^2-260x+169=(10x-13)^2\)
6. \(x^2-100=(x-10)(x+10)\)
7. \(225q^2-60q+4=(15q-2)^2\)
8. \(121x^{4}-44x^2y+4y^2=(11x^2-2y)^2\)
9. \(169a^2+364a+196=(13a+14)^2\)
10. \(16q^2+120q+225=(4q+15)^2\)
11. \(1-144x^{12}=(1-12x^6)(1+12x^6)\)
12. \(81b^{8}-198b^4+121=(9b^4-11)^2\)