Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(100s^2-1\)
- \(q^2+20q+100\)
- \(x^2-169\)
- \(p^2-225\)
- \(s^2-4s+4\)
- \(81x^2-16\)
- \(64p^{4}+176p^2y+121y^2\)
- \(-81b^2+169\)
- \(-144y^2+49\)
- \(100b^2+140b+49\)
- \(4p^{8}-225s^2\)
- \(256s^{4}-81y^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(100s^2-1=(10s+1)(10s-1)\)
- \(q^2+20q+100=(q+10)^2\)
- \(x^2-169=(x+13)(x-13)\)
- \(p^2-225=(p+15)(p-15)\)
- \(s^2-4s+4=(s-2)^2\)
- \(81x^2-16=(9x+4)(9x-4)\)
- \(64p^{4}+176p^2y+121y^2=(8p^2+11y)^2\)
- \(-81b^2+169=(13-9b)(13+9b)\)
- \(-144y^2+49=(7-12y)(7+12y)\)
- \(100b^2+140b+49=(10b+7)^2\)
- \(4p^{8}-225s^2=(2p^4+15s)(2p^4-15s)\)
- \(256s^{4}-81y^2=(16s^2+9y)(16s^2-9y)\)