Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(144q^{10}-264q^5s+121s^2\)
- \(144p^{8}-121\)
- \(196a^{8}-9y^2\)
- \(x^2+20x+100\)
- \(b^2-4\)
- \(25p^{6}-36s^2\)
- \(121y^{6}-44y^3+4\)
- \(100s^2+140s+49\)
- \(16-9y^{8}\)
- \(25s^2-16b^{16}\)
- \(25p^{8}+60p^4y+36y^2\)
- \(y^2-64\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(144q^{10}-264q^5s+121s^2=(12q^5-11s)^2\)
- \(144p^{8}-121=(12p^4+11)(12p^4-11)\)
- \(196a^{8}-9y^2=(14a^4+3y)(14a^4-3y)\)
- \(x^2+20x+100=(x+10)^2\)
- \(b^2-4=(b-2)(b+2)\)
- \(25p^{6}-36s^2=(5p^3+6s)(5p^3-6s)\)
- \(121y^{6}-44y^3+4=(11y^3-2)^2\)
- \(100s^2+140s+49=(10s+7)^2\)
- \(16-9y^{8}=(4-3y^4)(4+3y^4)\)
- \(25s^2-16b^{16}=(5s-4b^8)(5s+4b^8)\)
- \(25p^{8}+60p^4y+36y^2=(5p^4+6y)^2\)
- \(y^2-64=(y-8)(y+8)\)