Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
32s7−32s8
Evaluate
4s5(8s2−8s3)
Apply the distributive property
4s5×8s2−4s5×8s3
Multiply the terms
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Evaluate
4s5×8s2
Multiply the numbers
32s5×s2
Multiply the terms
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Evaluate
s5×s2
Use the product rule an×am=an+m to simplify the expression
s5+2
Add the numbers
s7
32s7
32s7−4s5×8s3
Solution
More Steps
Evaluate
4s5×8s3
Multiply the numbers
32s5×s3
Multiply the terms
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Evaluate
s5×s3
Use the product rule an×am=an+m to simplify the expression
s5+3
Add the numbers
s8
32s8
32s7−32s8
Show Solution
Factor the expression
32s7(1−s)
Evaluate
4s5(8s2−8s3)
Factor the expression
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Evaluate
8s2−8s3
Rewrite the expression
8s2−8s2×s
Factor out 8s2 from the expression
8s2(1−s)
4s5×8s2(1−s)
Solution
32s7(1−s)
Show Solution
Find the roots
s1=0,s2=1
Evaluate
4s5(8s2−8s3)
To find the roots of the expression,set the expression equal to 0
4s5(8s2−8s3)=0
Elimination the left coefficient
s5(8s2−8s3)=0
Separate the equation into 2 possible cases
s5=08s2−8s3=0
The only way a power can be 0 is when the base equals 0
s=08s2−8s3=0
Solve the equation
More Steps
Evaluate
8s2−8s3=0
Factor the expression
8s2(1−s)=0
Divide both sides
s2(1−s)=0
Separate the equation into 2 possible cases
s2=01−s=0
The only way a power can be 0 is when the base equals 0
s=01−s=0
Solve the equation
More Steps
Evaluate
1−s=0
Move the constant to the right-hand side and change its sign
−s=0−1
Removing 0 doesn't change the value,so remove it from the expression
−s=−1
Change the signs on both sides of the equation
s=1
s=0s=1
s=0s=0s=1
Find the union
s=0s=1
Solution
s1=0,s2=1
Show Solution