Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121-36p^{4}\)
2. \(q^2-144\)
3. \(s^2-16\)
4. \(p^2+24p+144\)
5. \(64q^2-112q+49\)
6. \(x^2+26x+169\)
7. \(a^2-225\)
8. \(144b^2+120b+25\)
9. \(p^2-121\)
10. \(s^2-36\)
11. \(y^2+8y+16\)
12. \(81a^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121-36p^{4}=(11-6p^2)(11+6p^2)\)
2. \(q^2-144=(q+12)(q-12)\)
3. \(s^2-16=(s+4)(s-4)\)
4. \(p^2+24p+144=(p+12)^2\)
5. \(64q^2-112q+49=(8q-7)^2\)
6. \(x^2+26x+169=(x+13)^2\)
7. \(a^2-225=(a-15)(a+15)\)
8. \(144b^2+120b+25=(12b+5)^2\)
9. \(p^2-121=(p+11)(p-11)\)
10. \(s^2-36=(s+6)(s-6)\)
11. \(y^2+8y+16=(y+4)^2\)
12. \(81a^2-64=(9a+8)(9a-8)\)