Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3g5−9g4
Evaluate
3g4(g−3)
Apply the distributive property
3g4×g−3g4×3
Multiply the terms
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Evaluate
g4×g
Use the product rule an×am=an+m to simplify the expression
g4+1
Add the numbers
g5
3g5−3g4×3
Solution
3g5−9g4
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Find the roots
g1=0,g2=3
Evaluate
(3g4)(g−3)
To find the roots of the expression,set the expression equal to 0
(3g4)(g−3)=0
Multiply the terms
3g4(g−3)=0
Elimination the left coefficient
g4(g−3)=0
Separate the equation into 2 possible cases
g4=0g−3=0
The only way a power can be 0 is when the base equals 0
g=0g−3=0
Solve the equation
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Evaluate
g−3=0
Move the constant to the right-hand side and change its sign
g=0+3
Removing 0 doesn't change the value,so remove it from the expression
g=3
g=0g=3
Solution
g1=0,g2=3
Show Solution