Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3x3+2x2−27x−18
Evaluate
(x+3)(x−3)(3x+2)
Multiply the terms
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Evaluate
(x+3)(x−3)
Use (a+b)(a−b)=a2−b2 to simplify the product
x2−32
Evaluate the power
x2−9
(x2−9)(3x+2)
Apply the distributive property
x2×3x+x2×2−9×3x−9×2
Multiply the terms
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Evaluate
x2×3x
Use the commutative property to reorder the terms
3x2×x
Multiply the terms
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Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
3x3
3x3+x2×2−9×3x−9×2
Use the commutative property to reorder the terms
3x3+2x2−9×3x−9×2
Multiply the numbers
3x3+2x2−27x−9×2
Solution
3x3+2x2−27x−18
Show Solution
Find the roots
x1=−3,x2=−32,x3=3
Alternative Form
x1=−3,x2=−0.6˙,x3=3
Evaluate
(x+3)(x−3)(3x+2)
To find the roots of the expression,set the expression equal to 0
(x+3)(x−3)(3x+2)=0
Separate the equation into 3 possible cases
x+3=0x−3=03x+2=0
Solve the equation
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Evaluate
x+3=0
Move the constant to the right-hand side and change its sign
x=0−3
Removing 0 doesn't change the value,so remove it from the expression
x=−3
x=−3x−3=03x+2=0
Solve the equation
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Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=−3x=33x+2=0
Solve the equation
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Evaluate
3x+2=0
Move the constant to the right-hand side and change its sign
3x=0−2
Removing 0 doesn't change the value,so remove it from the expression
3x=−2
Divide both sides
33x=3−2
Divide the numbers
x=3−2
Use b−a=−ba=−ba to rewrite the fraction
x=−32
x=−3x=3x=−32
Solution
x1=−3,x2=−32,x3=3
Alternative Form
x1=−3,x2=−0.6˙,x3=3
Show Solution