Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100s^2-1\)
2. \(q^2+20q+100\)
3. \(x^2-169\)
4. \(p^2-225\)
5. \(s^2-4s+4\)
6. \(81x^2-16\)
7. \(64p^{4}+176p^2y+121y^2\)
8. \(-81b^2+169\)
9. \(-144y^2+49\)
10. \(100b^2+140b+49\)
11. \(4p^{8}-225s^2\)
12. \(256s^{4}-81y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100s^2-1=(10s+1)(10s-1)\)
2. \(q^2+20q+100=(q+10)^2\)
3. \(x^2-169=(x+13)(x-13)\)
4. \(p^2-225=(p+15)(p-15)\)
5. \(s^2-4s+4=(s-2)^2\)
6. \(81x^2-16=(9x+4)(9x-4)\)
7. \(64p^{4}+176p^2y+121y^2=(8p^2+11y)^2\)
8. \(-81b^2+169=(13-9b)(13+9b)\)
9. \(-144y^2+49=(7-12y)(7+12y)\)
10. \(100b^2+140b+49=(10b+7)^2\)
11. \(4p^{8}-225s^2=(2p^4+15s)(2p^4-15s)\)
12. \(256s^{4}-81y^2=(16s^2+9y)(16s^2-9y)\)