Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49y^2-84y+36\)
2. \(16s^2-169\)
3. \(q^2-1\)
4. \(4y^2-121\)
5. \(121a^{10}-100\)
6. \(225-256x^{6}\)
7. \(196a^{4}-9x^2\)
8. \(-16x^2+225\)
9. \(q^2+30q+225\)
10. \(196a^2+28a+1\)
11. \(256p^2-288p+81\)
12. \(25x^2-121a^{16}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49y^2-84y+36=(7y-6)^2\)
2. \(16s^2-169=(4s+13)(4s-13)\)
3. \(q^2-1=(q-1)(q+1)\)
4. \(4y^2-121=(2y+11)(2y-11)\)
5. \(121a^{10}-100=(11a^5+10)(11a^5-10)\)
6. \(225-256x^{6}=(15-16x^3)(15+16x^3)\)
7. \(196a^{4}-9x^2=(14a^2+3x)(14a^2-3x)\)
8. \(-16x^2+225=(15-4x)(15+4x)\)
9. \(q^2+30q+225=(q+15)^2\)
10. \(196a^2+28a+1=(14a+1)^2\)
11. \(256p^2-288p+81=(16p-9)^2\)
12. \(25x^2-121a^{16}=(5x-11a^8)(5x+11a^8)\)