Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(25b^2-40b+16\)
- \(a^2+20a+100\)
- \(121q^2-100\)
- \(a^2-1\)
- \(121-25a^{8}\)
- \(s^2-64\)
- \(16q^{4}-169\)
- \(144b^{10}-264b^5s+121s^2\)
- \(16a^{4}+72a^2x+81x^2\)
- \(25q^{10}-70q^5+49\)
- \(x^2-30x+225\)
- \(16q^2-120q+225\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(25b^2-40b+16=(5b-4)^2\)
- \(a^2+20a+100=(a+10)^2\)
- \(121q^2-100=(11q+10)(11q-10)\)
- \(a^2-1=(a-1)(a+1)\)
- \(121-25a^{8}=(11-5a^4)(11+5a^4)\)
- \(s^2-64=(s-8)(s+8)\)
- \(16q^{4}-169=(4q^2+13)(4q^2-13)\)
- \(144b^{10}-264b^5s+121s^2=(12b^5-11s)^2\)
- \(16a^{4}+72a^2x+81x^2=(4a^2+9x)^2\)
- \(25q^{10}-70q^5+49=(5q^5-7)^2\)
- \(x^2-30x+225=(x-15)^2\)
- \(16q^2-120q+225=(4q-15)^2\)