Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−16h5−12h6
Evaluate
4h3(−4h2−3h3)
Apply the distributive property
4h3(−4h2)−4h3×3h3
Multiply the terms
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Evaluate
4h3(−4h2)
Multiply the numbers
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Evaluate
4(−4)
Multiplying or dividing an odd number of negative terms equals a negative
−4×4
Multiply the numbers
−16
−16h3×h2
Multiply the terms
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Evaluate
h3×h2
Use the product rule an×am=an+m to simplify the expression
h3+2
Add the numbers
h5
−16h5
−16h5−4h3×3h3
Solution
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Evaluate
4h3×3h3
Multiply the numbers
12h3×h3
Multiply the terms
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Evaluate
h3×h3
Use the product rule an×am=an+m to simplify the expression
h3+3
Add the numbers
h6
12h6
−16h5−12h6
Show Solution
Factor the expression
−4h5(4+3h)
Evaluate
4h3(−4h2−3h3)
Factor the expression
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Evaluate
−4h2−3h3
Rewrite the expression
−h2×4−h2×3h
Factor out −h2 from the expression
−h2(4+3h)
4h3(−h2)(4+3h)
Solution
−4h5(4+3h)
Show Solution
Find the roots
h1=−34,h2=0
Alternative Form
h1=−1.3˙,h2=0
Evaluate
(4h3)(−4h2−3h3)
To find the roots of the expression,set the expression equal to 0
(4h3)(−4h2−3h3)=0
Multiply the terms
4h3(−4h2−3h3)=0
Elimination the left coefficient
h3(−4h2−3h3)=0
Separate the equation into 2 possible cases
h3=0−4h2−3h3=0
The only way a power can be 0 is when the base equals 0
h=0−4h2−3h3=0
Solve the equation
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Evaluate
−4h2−3h3=0
Factor the expression
−h2(4+3h)=0
Divide both sides
h2(4+3h)=0
Separate the equation into 2 possible cases
h2=04+3h=0
The only way a power can be 0 is when the base equals 0
h=04+3h=0
Solve the equation
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Evaluate
4+3h=0
Move the constant to the right-hand side and change its sign
3h=0−4
Removing 0 doesn't change the value,so remove it from the expression
3h=−4
Divide both sides
33h=3−4
Divide the numbers
h=3−4
Use b−a=−ba=−ba to rewrite the fraction
h=−34
h=0h=−34
h=0h=0h=−34
Find the union
h=0h=−34
Solution
h1=−34,h2=0
Alternative Form
h1=−1.3˙,h2=0
Show Solution