Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100a^{12}-169q^2\)
2. \(16q^{4}+56q^2x+49x^2\)
3. \(121s^2+198s+81\)
4. \(16a^{4}-169b^2\)
5. \(16s^{14}-25x^2\)
6. \(q^2-16\)
7. \(100p^2+220p+121\)
8. \(100a^{8}-60a^4s+9s^2\)
9. \(s^2-225\)
10. \(-4q^2+169\)
11. \(-225p^2+4\)
12. \(16s^{10}+40s^5+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100a^{12}-169q^2=(10a^6+13q)(10a^6-13q)\)
2. \(16q^{4}+56q^2x+49x^2=(4q^2+7x)^2\)
3. \(121s^2+198s+81=(11s+9)^2\)
4. \(16a^{4}-169b^2=(4a^2+13b)(4a^2-13b)\)
5. \(16s^{14}-25x^2=(4s^7+5x)(4s^7-5x)\)
6. \(q^2-16=(q-4)(q+4)\)
7. \(100p^2+220p+121=(10p+11)^2\)
8. \(100a^{8}-60a^4s+9s^2=(10a^4-3s)^2\)
9. \(s^2-225=(s-15)(s+15)\)
10. \(-4q^2+169=(13-2q)(13+2q)\)
11. \(-225p^2+4=(2-15p)(2+15p)\)
12. \(16s^{10}+40s^5+25=(4s^5+5)^2\)