Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(-4p^2+1\)
- \(100p^{12}-9s^2\)
- \(49b^{4}-42b^2y+9y^2\)
- \(4q^{10}+4q^5+1\)
- \(49s^2-169\)
- \(9p^{8}-1\)
- \(-49x^2+36\)
- \(9-196x^{8}\)
- \(100b^{8}+140b^4x+49x^2\)
- \(s^2-225\)
- \(144a^2+24a+1\)
- \(9p^{10}-30p^5s+25s^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(-4p^2+1=(1-2p)(1+2p)\)
- \(100p^{12}-9s^2=(10p^6+3s)(10p^6-3s)\)
- \(49b^{4}-42b^2y+9y^2=(7b^2-3y)^2\)
- \(4q^{10}+4q^5+1=(2q^5+1)^2\)
- \(49s^2-169=(7s+13)(7s-13)\)
- \(9p^{8}-1=(3p^4+1)(3p^4-1)\)
- \(-49x^2+36=(6-7x)(6+7x)\)
- \(9-196x^{8}=(3-14x^4)(3+14x^4)\)
- \(100b^{8}+140b^4x+49x^2=(10b^4+7x)^2\)
- \(s^2-225=(s-15)(s+15)\)
- \(144a^2+24a+1=(12a+1)^2\)
- \(9p^{10}-30p^5s+25s^2=(3p^5-5s)^2\)