Question
Simplify the expression
16v4−1576v3
Evaluate
16v4−8v3−56v2×28v
Multiply
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Multiply the terms
−56v2×28v
Multiply the terms
−1568v2×v
Multiply the terms with the same base by adding their exponents
−1568v2+1
Add the numbers
−1568v3
16v4−8v3−1568v3
Solution
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Evaluate
−8v3−1568v3
Collect like terms by calculating the sum or difference of their coefficients
(−8−1568)v3
Subtract the numbers
−1576v3
16v4−1576v3
Show Solution

Factor the expression
8v3(2v−197)
Evaluate
16v4−8v3−56v2×28v
Multiply
More Steps

Multiply the terms
56v2×28v
Multiply the terms
1568v2×v
Multiply the terms with the same base by adding their exponents
1568v2+1
Add the numbers
1568v3
16v4−8v3−1568v3
Subtract the terms
More Steps

Evaluate
−8v3−1568v3
Collect like terms by calculating the sum or difference of their coefficients
(−8−1568)v3
Subtract the numbers
−1576v3
16v4−1576v3
Rewrite the expression
8v3×2v−8v3×197
Solution
8v3(2v−197)
Show Solution

Find the roots
v1=0,v2=2197
Alternative Form
v1=0,v2=98.5
Evaluate
16v4−8v3−56v2×28v
To find the roots of the expression,set the expression equal to 0
16v4−8v3−56v2×28v=0
Multiply
More Steps

Multiply the terms
56v2×28v
Multiply the terms
1568v2×v
Multiply the terms with the same base by adding their exponents
1568v2+1
Add the numbers
1568v3
16v4−8v3−1568v3=0
Subtract the terms
More Steps

Simplify
16v4−8v3−1568v3
Subtract the terms
More Steps

Evaluate
−8v3−1568v3
Collect like terms by calculating the sum or difference of their coefficients
(−8−1568)v3
Subtract the numbers
−1576v3
16v4−1576v3
16v4−1576v3=0
Factor the expression
8v3(2v−197)=0
Divide both sides
v3(2v−197)=0
Separate the equation into 2 possible cases
v3=02v−197=0
The only way a power can be 0 is when the base equals 0
v=02v−197=0
Solve the equation
More Steps

Evaluate
2v−197=0
Move the constant to the right-hand side and change its sign
2v=0+197
Removing 0 doesn't change the value,so remove it from the expression
2v=197
Divide both sides
22v=2197
Divide the numbers
v=2197
v=0v=2197
Solution
v1=0,v2=2197
Alternative Form
v1=0,v2=98.5
Show Solution
