Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-6q+9\)
2. \(b^2-18b+81\)
3. \(196p^2-81a^{6}\)
4. \(a^2-225\)
5. \(64x^2-169\)
6. \(-256a^2+49\)
7. \(-4x^2+25\)
8. \(y^2-121\)
9. \(49q^{16}-144x^2\)
10. \(s^2+4s+4\)
11. \(64p^{8}-240p^4+225\)
12. \(a^2-26a+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-6q+9=(q-3)^2\)
2. \(b^2-18b+81=(b-9)^2\)
3. \(196p^2-81a^{6}=(14p-9a^3)(14p+9a^3)\)
4. \(a^2-225=(a+15)(a-15)\)
5. \(64x^2-169=(8x+13)(8x-13)\)
6. \(-256a^2+49=(7-16a)(7+16a)\)
7. \(-4x^2+25=(5-2x)(5+2x)\)
8. \(y^2-121=(y+11)(y-11)\)
9. \(49q^{16}-144x^2=(7q^8+12x)(7q^8-12x)\)
10. \(s^2+4s+4=(s+2)^2\)
11. \(64p^{8}-240p^4+225=(8p^4-15)^2\)
12. \(a^2-26a+169=(a-13)^2\)