Binomische Formeln 2
in Frage&Antwort
© bGeiring hGeiring v12 2013
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`(5y-3x)^2 = ? `
`= 25y^2 - 30xy + 9x^2`
`(4x+4y)(4x-4y) = ? `
`= 16x^2 - 16y^2`
`(u+3/4 v)^2 = ?`
`= u^2 +3/2 uv + 9/16 v^2`
`(7b+4c)^2 = ? `
`= 49b^2 + 56bc +16c^2`
`(9y-10x)^2 = ? `
`= 81y^2 - 180xy +100x^2`
`(-4a-5b)^2 = ? `
`= -(4a+5b)*[-(4a+5b)]`
`= (4a+5b)(4a+5b)`
`= 16a^2+40ab+25b^2`
`(c/2-b)(c/2+b) = ?`
`= (c^2)/4 - b^2`
`(-3x+y)(-y+3x) = ?`
`=(y-3x)*(y-3x)*(-1)`
`=-(y^2-6xy+9x^2)`
`=-y^2 +6xy -9x^2`
`(5y+7)(5y-7) = ?`
`= 25y^2- 49`
`(2b+5a)(5b+2a) = ?`
`= 2b*5b+2b*2a+5a*5b*5a*2a`
`= 10b^2+4ab+25ab+10a^2`
`= 10b^2+29ab+10a^2`
`(a^3-ab^2)/(ba^2-b^3) = ?`
`= (a*(a^2-b^2))/(b*(a^2-b^2))`
`= a/b`
`((4x+2y)^2)/((6x+3y)^2) = ?`
`= (2*(2x+y)*2*(2x+y))/(3*(2x+y)*3*(2x+y))`
`= (2*2)/(3*3)`
`= 4/9`
`(3b-8a)^2 = ?`
`= 9b^2-48ab+64a^2`
`(1/2 x+y)^2 = ?`
`= 1/4 x^2 + xy + y^2`
`(a^4-b^4)/(a^2-b^2) = ?`
`= ((a^2+b^2)*(a^2-b^2))/(a^2-b^2)`
`= a^2 + b^2`