Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
64g3−32g2
Evaluate
8(2g×1)(4g2−2g×1)
Remove the parentheses
8×2g×1×(4g2−2g×1)
Multiply the terms
8×2g×1×(4g2−2g)
Rewrite the expression
8×2g(4g2−2g)
Multiply the terms
16g(4g2−2g)
Apply the distributive property
16g×4g2−16g×2g
Multiply the terms
More Steps
Evaluate
16g×4g2
Multiply the numbers
64g×g2
Multiply the terms
More Steps
Evaluate
g×g2
Use the product rule an×am=an+m to simplify the expression
g1+2
Add the numbers
g3
64g3
64g3−16g×2g
Solution
More Steps
Evaluate
16g×2g
Multiply the numbers
32g×g
Multiply the terms
32g2
64g3−32g2
Show Solution
Factor the expression
32g2(2g−1)
Evaluate
8(2g×1)(4g2−2g×1)
Remove the parentheses
8×2g×1×(4g2−2g×1)
Multiply the terms
8×2g×1×(4g2−2g)
Multiply the terms
8×2g(4g2−2g)
Multiply the terms
16g(4g2−2g)
Factor the expression
More Steps
Evaluate
4g2−2g
Rewrite the expression
2g×2g−2g
Factor out 2g from the expression
2g(2g−1)
16g×2g(2g−1)
Solution
32g2(2g−1)
Show Solution
Find the roots
g1=0,g2=21
Alternative Form
g1=0,g2=0.5
Evaluate
8(2g×1)(4g2−2g×1)
To find the roots of the expression,set the expression equal to 0
8(2g×1)(4g2−2g×1)=0
Multiply the terms
8×2g(4g2−2g×1)=0
Multiply the terms
8×2g(4g2−2g)=0
Multiply the terms
16g(4g2−2g)=0
Elimination the left coefficient
g(4g2−2g)=0
Separate the equation into 2 possible cases
g=04g2−2g=0
Solve the equation
More Steps
Evaluate
4g2−2g=0
Factor the expression
More Steps
Evaluate
4g2−2g
Rewrite the expression
2g×2g−2g
Factor out 2g from the expression
2g(2g−1)
2g(2g−1)=0
When the product of factors equals 0,at least one factor is 0
2g=02g−1=0
Solve the equation for g
g=02g−1=0
Solve the equation for g
More Steps
Evaluate
2g−1=0
Move the constant to the right-hand side and change its sign
2g=0+1
Removing 0 doesn't change the value,so remove it from the expression
2g=1
Divide both sides
22g=21
Divide the numbers
g=21
g=0g=21
g=0g=0g=21
Find the union
g=0g=21
Solution
g1=0,g2=21
Alternative Form
g1=0,g2=0.5
Show Solution