Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81b^2-144b+64\)
2. \(b^2-4\)
3. \(100a^{10}-260a^5x+169x^2\)
4. \(121b^{10}+88b^5+16\)
5. \(q^2-9\)
6. \(16s^{6}-25x^2\)
7. \(16x^2-88x+121\)
8. \(121x^2-110x+25\)
9. \(16s^2-169p^{16}\)
10. \(25-144x^{12}\)
11. \(256b^{4}-96b^2q+9q^2\)
12. \(b^2-24b+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81b^2-144b+64=(9b-8)^2\)
2. \(b^2-4=(b-2)(b+2)\)
3. \(100a^{10}-260a^5x+169x^2=(10a^5-13x)^2\)
4. \(121b^{10}+88b^5+16=(11b^5+4)^2\)
5. \(q^2-9=(q-3)(q+3)\)
6. \(16s^{6}-25x^2=(4s^3+5x)(4s^3-5x)\)
7. \(16x^2-88x+121=(4x-11)^2\)
8. \(121x^2-110x+25=(11x-5)^2\)
9. \(16s^2-169p^{16}=(4s-13p^8)(4s+13p^8)\)
10. \(25-144x^{12}=(5-12x^6)(5+12x^6)\)
11. \(256b^{4}-96b^2q+9q^2=(16b^2-3q)^2\)
12. \(b^2-24b+144=(b-12)^2\)