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Basic Math
Evaluate (15*14*13*12*11*10*9*8*7)/(6*5*4*3*2)
15⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅76⋅5⋅4⋅3⋅215⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅76⋅5⋅4⋅3⋅2
Step 1
Cancel the common factor of 1515 and 66.
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Step 1.1
Factor 33 out of 15⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅715⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅7.
3(5⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅7)6⋅5⋅4⋅3⋅23(5⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅7)6⋅5⋅4⋅3⋅2
Step 1.2
Cancel the common factors.
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Step 1.2.1
Factor 33 out of 6⋅5⋅4⋅3⋅26⋅5⋅4⋅3⋅2.
3(5⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅7)3(2⋅5⋅4⋅3⋅2)3(5⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅7)3(2⋅5⋅4⋅3⋅2)
Step 1.2.2
Cancel the common factor.
3(5⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅7)3(2⋅5⋅4⋅3⋅2)3(5⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅7)3(2⋅5⋅4⋅3⋅2)
Step 1.2.3
Rewrite the expression.
5⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅72⋅5⋅4⋅3⋅25⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅72⋅5⋅4⋅3⋅2
5⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅72⋅5⋅4⋅3⋅25⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅72⋅5⋅4⋅3⋅2
5⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅72⋅5⋅4⋅3⋅25⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅72⋅5⋅4⋅3⋅2
Step 2
Cancel the common factor of 55.
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Step 2.1
Cancel the common factor.
5⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅72⋅5⋅4⋅3⋅25⋅14⋅13⋅12⋅11⋅10⋅9⋅8⋅72⋅5⋅4⋅3⋅2
Step 2.2
Rewrite the expression.
14⋅13⋅12⋅11⋅10⋅9⋅8⋅72⋅4⋅3⋅214⋅13⋅12⋅11⋅10⋅9⋅8⋅72⋅4⋅3⋅2
14⋅13⋅12⋅11⋅10⋅9⋅8⋅72⋅4⋅3⋅214⋅13⋅12⋅11⋅10⋅9⋅8⋅72⋅4⋅3⋅2
Step 3
Cancel the common factor of 1414 and 22.
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Step 3.1
Factor 22 out of 14⋅13⋅12⋅11⋅10⋅9⋅8⋅714⋅13⋅12⋅11⋅10⋅9⋅8⋅7.
2(7⋅13⋅12⋅11⋅10⋅9⋅8⋅7)2⋅4⋅3⋅22(7⋅13⋅12⋅11⋅10⋅9⋅8⋅7)2⋅4⋅3⋅2
Step 3.2
Cancel the common factors.
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Step 3.2.1
Factor 22 out of 2⋅4⋅3⋅22⋅4⋅3⋅2.
2(7⋅13⋅12⋅11⋅10⋅9⋅8⋅7)2(4⋅3⋅2)2(7⋅13⋅12⋅11⋅10⋅9⋅8⋅7)2(4⋅3⋅2)
Step 3.2.2
Cancel the common factor.
2(7⋅13⋅12⋅11⋅10⋅9⋅8⋅7)2(4⋅3⋅2)2(7⋅13⋅12⋅11⋅10⋅9⋅8⋅7)2(4⋅3⋅2)
Step 3.2.3
Rewrite the expression.
7⋅13⋅12⋅11⋅10⋅9⋅8⋅74⋅3⋅27⋅13⋅12⋅11⋅10⋅9⋅8⋅74⋅3⋅2
7⋅13⋅12⋅11⋅10⋅9⋅8⋅74⋅3⋅27⋅13⋅12⋅11⋅10⋅9⋅8⋅74⋅3⋅2
7⋅13⋅12⋅11⋅10⋅9⋅8⋅74⋅3⋅27⋅13⋅12⋅11⋅10⋅9⋅8⋅74⋅3⋅2
Step 4
Cancel the common factor of 1212 and 44.
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Step 4.1
Factor 44 out of 7⋅13⋅12⋅11⋅10⋅9⋅8⋅77⋅13⋅12⋅11⋅10⋅9⋅8⋅7.
4(7⋅13⋅3⋅11⋅10⋅9⋅8⋅7)4⋅3⋅24(7⋅13⋅3⋅11⋅10⋅9⋅8⋅7)4⋅3⋅2
Step 4.2
Cancel the common factors.
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Step 4.2.1
Factor 44 out of 4⋅3⋅24⋅3⋅2.
4(7⋅13⋅3⋅11⋅10⋅9⋅8⋅7)4(3⋅2)4(7⋅13⋅3⋅11⋅10⋅9⋅8⋅7)4(3⋅2)
Step 4.2.2
Cancel the common factor.
4(7⋅13⋅3⋅11⋅10⋅9⋅8⋅7)4(3⋅2)4(7⋅13⋅3⋅11⋅10⋅9⋅8⋅7)4(3⋅2)
Step 4.2.3
Rewrite the expression.
7⋅13⋅3⋅11⋅10⋅9⋅8⋅73⋅27⋅13⋅3⋅11⋅10⋅9⋅8⋅73⋅2
7⋅13⋅3⋅11⋅10⋅9⋅8⋅73⋅27⋅13⋅3⋅11⋅10⋅9⋅8⋅73⋅2
7⋅13⋅3⋅11⋅10⋅9⋅8⋅73⋅27⋅13⋅3⋅11⋅10⋅9⋅8⋅73⋅2
Step 5
Cancel the common factor of 33.
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Step 5.1
Cancel the common factor.
7⋅13⋅3⋅11⋅10⋅9⋅8⋅73⋅27⋅13⋅3⋅11⋅10⋅9⋅8⋅73⋅2
Step 5.2
Rewrite the expression.
7⋅13⋅11⋅10⋅9⋅8⋅727⋅13⋅11⋅10⋅9⋅8⋅72
7⋅13⋅11⋅10⋅9⋅8⋅727⋅13⋅11⋅10⋅9⋅8⋅72
Step 6
Cancel the common factor of 1010 and 22.
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Step 6.1
Factor 22 out of 7⋅13⋅11⋅10⋅9⋅8⋅77⋅13⋅11⋅10⋅9⋅8⋅7.
2(7⋅13⋅11⋅5⋅9⋅8⋅7)22(7⋅13⋅11⋅5⋅9⋅8⋅7)2
Step 6.2
Cancel the common factors.
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Step 6.2.1
Factor 22 out of 22.
2(7⋅13⋅11⋅5⋅9⋅8⋅7)2(1)2(7⋅13⋅11⋅5⋅9⋅8⋅7)2(1)
Step 6.2.2
Cancel the common factor.
2(7⋅13⋅11⋅5⋅9⋅8⋅7)2⋅12(7⋅13⋅11⋅5⋅9⋅8⋅7)2⋅1
Step 6.2.3
Rewrite the expression.
7⋅13⋅11⋅5⋅9⋅8⋅717⋅13⋅11⋅5⋅9⋅8⋅71
Step 6.2.4
Divide 7⋅13⋅11⋅5⋅9⋅8⋅77⋅13⋅11⋅5⋅9⋅8⋅7 by 11.
7⋅13⋅11⋅5⋅9⋅8⋅77⋅13⋅11⋅5⋅9⋅8⋅7
7⋅13⋅11⋅5⋅9⋅8⋅77⋅13⋅11⋅5⋅9⋅8⋅7
7⋅13⋅11⋅5⋅9⋅8⋅77⋅13⋅11⋅5⋅9⋅8⋅7
Step 7
Multiply 7⋅13⋅11⋅5⋅9⋅8⋅77⋅13⋅11⋅5⋅9⋅8⋅7.
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Step 7.1
Multiply 77 by 1313.
91⋅11⋅5⋅9⋅8⋅791⋅11⋅5⋅9⋅8⋅7
Step 7.2
Multiply 9191 by 1111.
1001⋅5⋅9⋅8⋅71001⋅5⋅9⋅8⋅7
Step 7.3
Multiply 10011001 by 55.
5005⋅9⋅8⋅75005⋅9⋅8⋅7
Step 7.4
Multiply 50055005 by 99.
45045⋅8⋅745045⋅8⋅7
Step 7.5
Multiply 4504545045 by 88.
360360⋅7360360⋅7
Step 7.6
Multiply 360360360360 by 77.
25225202522520
25225202522520
 [x2  12  √π  ∫xdx ]  ⎡⎢⎣x2  12  √π  ∫xdx ⎤⎥⎦