Answer 2.1:1

From Förberedande kurs i matematik 1

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(Ny sida: ===Övning 2.1:1=== <div class="ovning"> Utveckla {| width="100%" cellspacing="10px" |a) |width="33%" | <math>3x(x-1)</math> |b) |width="33%" | <math>(1+x-x^2)xy</math> |c) |width="33%" | ...)
Current revision (14:32, 8 September 2008) (edit) (undo)
m (Svar 2.1:1 moved to Answer 2.1:1: Robot: moved page)
 
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===Övning 2.1:1===
 
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<div class="ovning">
 
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Utveckla
 
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
-
|width="33%" | <math>3x(x-1)</math>
+
|width="33%" | <math>3x^2-3x</math>
|b)
|b)
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|width="33%" | <math>(1+x-x^2)xy</math>
+
|width="33%" | <math>xy+x^2y-x^3y</math>
|c)
|c)
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|width="33%" | <math>-x^2(4-y^2)</math>
+
|width="33%" | <math>-4x^2+x^2y^2</math>
|-
|-
|d)
|d)
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|| <math>x^3y^2\left(\displaystyle \frac{1}{y} - \frac{1}{xy}+1\right)</math>
+
|| <math>x^3y-x^2y+x^3y^2</math>
|e)
|e)
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||<math> (x-7)^2</math>
+
||<math> x^2-14x+49</math>
|f)
|f)
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||<math> (5+4y)^2</math>
+
||<math> 16y^2+40y+25</math>
|-
|-
|g)
|g)
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||<math>(y^2-3x^3)^2</math>
+
||<math>9x^6-6x^3y^2+y^4</math>
|h)
|h)
-
||<math> (5x^3+3x^5)^2</math>
+
||<math> 9x^{10}+30x^8+25x^6</math>
|}
|}

Current revision

a) \displaystyle 3x^2-3x b) \displaystyle xy+x^2y-x^3y c) \displaystyle -4x^2+x^2y^2
d) \displaystyle x^3y-x^2y+x^3y^2 e) \displaystyle x^2-14x+49 f) \displaystyle 16y^2+40y+25
g) \displaystyle 9x^6-6x^3y^2+y^4 h) \displaystyle 9x^{10}+30x^8+25x^6