Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225s^2+120s+16\)
2. \(196q^{4}-25x^2\)
3. \(196a^2+140a+25\)
4. \(a^2-25\)
5. \(16b^{10}-1\)
6. \(64q^2-81\)
7. \(x^2-2x+1\)
8. \(144p^{4}-264p^2+121\)
9. \(1-169p^{8}\)
10. \(256b^{8}-288b^4s+81s^2\)
11. \(a^2+26a+169\)
12. \(16x^2-225b^{4}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225s^2+120s+16=(15s+4)^2\)
2. \(196q^{4}-25x^2=(14q^2+5x)(14q^2-5x)\)
3. \(196a^2+140a+25=(14a+5)^2\)
4. \(a^2-25=(a-5)(a+5)\)
5. \(16b^{10}-1=(4b^5+1)(4b^5-1)\)
6. \(64q^2-81=(8q+9)(8q-9)\)
7. \(x^2-2x+1=(x-1)^2\)
8. \(144p^{4}-264p^2+121=(12p^2-11)^2\)
9. \(1-169p^{8}=(1-13p^4)(1+13p^4)\)
10. \(256b^{8}-288b^4s+81s^2=(16b^4-9s)^2\)
11. \(a^2+26a+169=(a+13)^2\)
12. \(16x^2-225b^{4}=(4x-15b^2)(4x+15b^2)\)