Basic Math Examples

Simplify (-15y^6+12y^5-12)/(3y^4)
-15y6+12y5-123y4
Step 1
Cancel the common factor of -15y6+12y5-12 and 3.
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Step 1.1
Factor 3 out of -15y6.
3(-5y6)+12y5-123y4
Step 1.2
Factor 3 out of 12y5.
3(-5y6)+3(4y5)-123y4
Step 1.3
Factor 3 out of 3(-5y6)+3(4y5).
3(-5y6+4y5)-123y4
Step 1.4
Factor 3 out of -12.
3(-5y6+4y5)+3-43y4
Step 1.5
Factor 3 out of 3(-5y6+4y5)+3(-4).
3(-5y6+4y5-4)3y4
Step 1.6
Cancel the common factors.
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Step 1.6.1
Factor 3 out of 3y4.
3(-5y6+4y5-4)3(y4)
Step 1.6.2
Cancel the common factor.
3(-5y6+4y5-4)3y4
Step 1.6.3
Rewrite the expression.
-5y6+4y5-4y4
-5y6+4y5-4y4
-5y6+4y5-4y4
Step 2
Factor -1 out of -5y6.
-(5y6)+4y5-4y4
Step 3
Factor -1 out of 4y5.
-(5y6)-(-4y5)-4y4
Step 4
Factor -1 out of -(5y6)-(-4y5).
-(5y6-4y5)-4y4
Step 5
Rewrite -4 as -1(4).
-(5y6-4y5)-1(4)y4
Step 6
Factor -1 out of -(5y6-4y5)-1(4).
-(5y6-4y5+4)y4
Step 7
Simplify the expression.
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Step 7.1
Rewrite -(5y6-4y5+4) as -1(5y6-4y5+4).
-1(5y6-4y5+4)y4
Step 7.2
Move the negative in front of the fraction.
-5y6-4y5+4y4
-5y6-4y5+4y4
 [x2  12  π  xdx ]