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13 Cards in this Set
- Front
- Back
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Rewrite the rational expression by simplifying.
6x+36/12x-18 |
6x+36/12x-18 =
6(x+6)/6(2x-3) = (x+6)/(2x-3) |
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Rewrite the rational expression by simplifying.
2x²+6x/4x³-8x |
2x²+6x/4x³-8x =
2x(x+3)/4x(x²-2) = x(x+3)/2x(x²-2) |
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Rewrite the rational expression by simplifying.
k/k²+3k |
k/k²+3k =
k(1)/k(k+3) = 1/(k+3) |
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Add the rational expressions.
7k/5 + 4k/6 |
7k/5 + 4k/6 =
42k/30 + 20k/30= (42k+20K)/30= (21k+10k)/15= 31k/15 |
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Add the rational expressions.
uv/5 + 8/10 |
uv/5 + 8/10=
2uv/10 + 8/10= (2uv+8)/10= (uv+4)/5 |
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Subtract the rational expressions.
10/w⁵ - 6/w⁵ |
10/w⁵ - 6/w⁵=
(10-6)/w⁵= 4/w⁵ |
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Subtract the rational expressions.
12k/h⁶ - 3k/h⁶ |
12k/h⁶ - 3k/h⁶=
(12k-3k)/h⁶= 9k/h⁶ |
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Multiply the rational expressions.
(3m-5)/(7m+2) * 5m+7 |
(3m-5)/(7m+2) * 5m+7=
(3m-5)(5m+7)/(7m+2)(1) = (15m²+21m-25m-35)/(7m+2) = (15m²-4m-35)/(7m+2) |
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Multiply the rational expressions.
(6y+7)/(6y+6) * (5y-6) |
(6y+7)/(6y+6) * (5y-6)=
(6y+7)(5y-6)/(6y+6)(1) = (30y²+36y+35y-42)/(6y+6) = (30y²+71y-42)/(6y+6) |
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Multiply the rational expressions.
(3x+3)/(4x+5) * (2x-5) |
(3x+3)/(4x+5) * (2x-5) =
(3x+3)(2x-5)/(4x+5) = (6x²-15x+6x-15)/(4x+5) = (6x²-9x-15)/(4x+5) |
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Divide the rational expressions.
(2c+2)/(8c-6) ÷ (6c-2) |
(2c+2)/(8c-6) ÷ (6c-2) =
(2c+2)/(8c-6) * 1/(6c-2) = (2c+2)(1)/(8c-6)(6c-2) = (2c+2)/(3=48c²-16c-36c+12)= (2c+2)/(48c²-52c+12) |
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Divide the rational expressions.
(4g+5)/(7g-6) ÷ (5g+4) |
(4g+5)/(7g-6) ÷ (5g+4) =
(4g+5)(1)/(7g-6)(5g+4) = (4g+5)/(35g²+28g-30g-24) = (4g+5)/(35g²-2g-24) |
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Divide the rational expressions.
(6x+8)/(4x-5) ÷ (4x+3) |
(6x+8)/(4x-5) ÷ (4x+3) =
(6x+8)(1)/(4x-5)(4x+3) = (6x+8)/(16x²+12x-20x-15) = (6x+8)/(16x²-8x-15) |
