Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25b^2-40b+16\)
2. \(a^2+20a+100\)
3. \(121q^2-100\)
4. \(a^2-1\)
5. \(121-25a^{8}\)
6. \(s^2-64\)
7. \(16q^{4}-169\)
8. \(144b^{10}-264b^5s+121s^2\)
9. \(16a^{4}+72a^2x+81x^2\)
10. \(25q^{10}-70q^5+49\)
11. \(x^2-30x+225\)
12. \(16q^2-120q+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25b^2-40b+16=(5b-4)^2\)
2. \(a^2+20a+100=(a+10)^2\)
3. \(121q^2-100=(11q+10)(11q-10)\)
4. \(a^2-1=(a-1)(a+1)\)
5. \(121-25a^{8}=(11-5a^4)(11+5a^4)\)
6. \(s^2-64=(s-8)(s+8)\)
7. \(16q^{4}-169=(4q^2+13)(4q^2-13)\)
8. \(144b^{10}-264b^5s+121s^2=(12b^5-11s)^2\)
9. \(16a^{4}+72a^2x+81x^2=(4a^2+9x)^2\)
10. \(25q^{10}-70q^5+49=(5q^5-7)^2\)
11. \(x^2-30x+225=(x-15)^2\)
12. \(16q^2-120q+225=(4q-15)^2\)