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a(c+d)a(c+d)a(c+d)
4(5a+3b)4(5a+3b)4(5a+3b)
6(3x+8a)6(3x+8a)6(3x+8a)
10(5a+10c+3x)10(5a+10c+3x)10(5a+10c+3x)
4(a+2b)4(a+2b)4(a+2b)
6(3b+17a)6(3b+17a)6(3b+17a)
33(5a+8b)33(5a+8b)33(5a+8b)
14(4a+5b)14(4a+5b)14(4a+5b)
4ac(ab+3cd)4\mathrm{ac}(\mathrm{ab}+3\mathrm{cd})4ac(ab+3cd)
(14x−15a)(30b+18c)(14x-15a)(30b+18c)(14x−15a)(30b+18c)
(7a+3c)(4b+2c)(7a+3c)(4b+2c)(7a+3c)(4b+2c)
(3x−5y)(−3xy+2y)(3x-5y)(-3\mathrm{xy}+2y)(3x−5y)(−3xy+2y)
7ac(4bc+4ac)7\mathrm{ac}(4\mathrm{bc}+4\mathrm{ac})7ac(4bc+4ac)
4ab(7bc+7c)4\mathrm{ab}(7\mathrm{bc}+7c)4ab(7bc+7c)
4c(7a+7b)4c(7a+7b)4c(7a+7b)
7bc(4c+4bc)7\mathrm{bc}(4c+4\mathrm{bc})7bc(4c+4bc)
Vereinfache die Terme so weit wie möglich!
12a−(−3a)12a-\left(-3a\right)12a−(−3a)
3c−9c+(−3c)+4c+5c3c-9c+\left(-3c\right)+4c+5c3c−9c+(−3c)+4c+5c
−6k+15k−13k-6k+15k-13k−6k+15k−13k
−(−3a)+5a−4a+(−a)-\left(-3a\right)+5a-4a+\left(-a\right)−(−3a)+5a−4a+(−a)
(−2d+e)−(5d+4e)−2d+3e\left(-2d+e\right)-\left(5d+4e\right)-2d+3e(−2d+e)−(5d+4e)−2d+3e
12x−(12x+3y)+(−3y)−(3x−y)12x-\left(12x+3y\right)+\left(-3y\right)-\left(3x-y\right)12x−(12x+3y)+(−3y)−(3x−y)
−6m−(4−6m)+3m+(4−3m)-6m-\left(4-6m\right)+3m+\left(4-3m\right)−6m−(4−6m)+3m+(4−3m)
a−b−c−d−(a−b−c−d)+(a−b−c−d)a-b-c-d-\left(a-b-c-d\right)+\left(a-b-c-d\right)a−b−c−d−(a−b−c−d)+(a−b−c−d)
7m−5n−[5m−(3n−m)−(2m+n)−5n]7m-5n-\left[5m-\left(3n-m\right)-\left(2m+n\right)-5n\right]7m−5n−[5m−(3n−m)−(2m+n)−5n]
[7a+5b−(3a+b)]−{[3b−(2a−b)]−5a}\left[7a+5b-\left(3a+b\right)\right]-\left\{\left[3b-\left(2a-b\right)\right]-5a\right\}[7a+5b−(3a+b)]−{[3b−(2a−b)]−5a}
Fasse folgende Terme zusammen und vereinfache sie soweit wie möglich.
5x+7y−x+13y5x+7y-x+13y5x+7y−x+13y
13a+49b+56a+119b+16a\frac13a+\frac49b+\frac56a+\frac{11}9b+\frac16a31a+94b+65a+911b+61a
10k+6m−8n+5k−m−2n10k+6m-8n+5k-m-2n10k+6m−8n+5k−m−2n
413u+112v−4z−212u+314z−412v4\frac13u+1\frac12v-4z-2\frac12u+3\frac14z-4\frac12v431u+121v−4z−221u+341z−421v
1,8x+2,3y+3,2z−0,9x−1,1y−1,4z1{,}8x+2{,}3y+3{,}2z-0{,}9x-1{,}1y-1{,}4z1,8x+2,3y+3,2z−0,9x−1,1y−1,4z
714ax−312bx+523cx−218ax+456bx−219cx7\frac14\mathrm{ax}-3\frac12\mathrm{bx}+5\frac23\mathrm{cx}-2\frac18\mathrm{ax}+4\frac56\mathrm{bx}-2\frac19\mathrm{cx}741ax−321bx+532cx−281ax+465bx−291cx
Löse die Klammer auf und vereinfache soweit wie möglich.
3u+[4−(2u−1)+8u]+73u+\left[4-\left(2u-1\right)+8u\right]+73u+[4−(2u−1)+8u]+7
6x−[9y−(2x+4z)−(2x+3y−8z)]6x-\left[9y-\left(2x+4z\right)-\left(2x+3y-8z\right)\right]6x−[9y−(2x+4z)−(2x+3y−8z)]
37s−[2s−(25s+12t)+(37t−15s)]37s-\left[2s-\left(25s+12t\right)+\left(37t-15s\right)\right]37s−[2s−(25s+12t)+(37t−15s)]
812x−[(313y−2z)−4x]−[4x−(3x−z)]8\frac12x-\left[\left(3\frac13y-2z\right)-4x\right]-\left[4x-\left(3x-z\right)\right]821x−[(331y−2z)−4x]−[4x−(3x−z)]
(u+2v−3w)−[4v−(3u+2v−3w)]\left(u+2v-3w\right)-\left[4v-\left(3u+2v-3w\right)\right](u+2v−3w)−[4v−(3u+2v−3w)]
(x−11)−[x−(5x−7)]−[2+(4−3x)]\left(x-11\right)-\left[x-\left(5x-7\right)\right]-\left[2+\left(4-3x\right)\right](x−11)−[x−(5x−7)]−[2+(4−3x)]
Multipliziere und fasse zusammen.
2⋅(2x−3y)−6x+y2\cdot\left(2x-3y\right)-6x+y2⋅(2x−3y)−6x+y
−3m⋅(m−n+20)−4m⋅(2m+8n−3)-3m\cdot\left(m-n+20\right)-4m\cdot\left(2m+8n-3\right)−3m⋅(m−n+20)−4m⋅(2m+8n−3)
9x−2⋅(x−3y)+4⋅(y+4x)9x-2\cdot\left(x-3y\right)+4\cdot\left(y+4x\right)9x−2⋅(x−3y)+4⋅(y+4x)
12⋅(2x−4)−5⋅(2x+8)+14⋅(12x−4)\frac12\cdot\left(2x-4\right)-5\cdot\left(2x+8\right)+\frac14\cdot\left(12x-4\right)21⋅(2x−4)−5⋅(2x+8)+41⋅(12x−4)
(a+b)⋅(m−n)\left(a+b\right)\cdot\left(m-n\right)(a+b)⋅(m−n)
(4,2u−2,4v)⋅(5u−10v)\left(4{,}2u-2{,}4v\right)\cdot\left(5u-10v\right)(4,2u−2,4v)⋅(5u−10v)
(x+2y)⋅(3a+b+2c)\left(x+2y\right)\cdot\left(3a+b+2c\right)(x+2y)⋅(3a+b+2c)
16n2+(2+2n)⋅(8n+5)+4n2−1516n^2+\left(2+2n\right)\cdot\left(8n+5\right)+4n^2-1516n2+(2+2n)⋅(8n+5)+4n2−15
(2a+5b−c)⋅(3a−b)\left(2a+5b-c\right)\cdot\left(3a-b\right)(2a+5b−c)⋅(3a−b)
(4x−3y)⋅(y+x)+(8x+2y)⋅(3x+4y)\left(4x-3y\right)\cdot\left(y+x\right)+\left(8x+2y\right)\cdot\left(3x+4y\right)(4x−3y)⋅(y+x)+(8x+2y)⋅(3x+4y)
2r2+(2r−2s)⋅(4r+3)+s2−6rs2r^2+\left(2r-2s\right)\cdot\left(4r+3\right)+s^2-6\mathrm{rs}2r2+(2r−2s)⋅(4r+3)+s2−6rs
(4x+2y)⋅(x−y)−2⋅(x+y)⋅(x−y)\left(4x+2y\right)\cdot\left(x-y\right)-2\cdot\left(x+y\right)\cdot\left(x-y\right)(4x+2y)⋅(x−y)−2⋅(x+y)⋅(x−y)
Vereinfache
a−x+x−a+x−a+2xa-x+x-a+x-a+2xa−x+x−a+x−a+2x
2xy−y+a+2y+y22xy-y+a+2y+y^22xy−y+a+2y+y2
−14a−(−7+2a)-14a-(-7+2a)−14a−(−7+2a)
−14a−(7−2a)-14a-(7-2a)−14a−(7−2a)
2x(3x+1)2x(3x+1)2x(3x+1)
2x(3x⋅1)2x(3x\cdot1)2x(3x⋅1)
x3⋅x7x^3\cdot x^7x3⋅x7
(−1)⋅(x3)2(-1)\cdot\left(x^3\right)^2(−1)⋅(x3)2
(−x3)2\left(-x^3\right)^2(−x3)2
(3x−1)(5x2−2x)\left(3x-1\right)\left(5x^2-2x\right)(3x−1)(5x2−2x)
(uv−w2)(uw+v2)\left(uv-w^2\right)\left(uw+v^2\right)(uv−w2)(uw+v2)
(x+1)(x−2)(x+3)(x+1)(x-2)(x+3)(x+1)(x−2)(x+3)
7x2−[x−x(3x+1)]7x^2-\left[x-x\left(3x+1\right)\right]7x2−[x−x(3x+1)]
(3a+b)2\left(3a+b\right)^2(3a+b)2
(23−a)2\left(\frac23-a\right)^2(32−a)2
(23a)2\left(\frac23a\right)^2(32a)2
x(x−1)(x+3)−x2(1+x)x\left(x-1\right)\left(x+3\right)-x^2\left(1+x\right)x(x−1)(x+3)−x2(1+x)
10(x−25)3−0,8(6x−0,8)10\left(x-\frac25\right)^3-0{,}8\left(6x-0{,}8\right)10(x−52)3−0,8(6x−0,8)
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