Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x7−6x6+9x5
Evaluate
x5(x−3)2
Expand the expression
More Steps
Evaluate
(x−3)2
Use (a−b)2=a2−2ab+b2 to expand the expression
x2−2x×3+32
Calculate
x2−6x+9
x5(x2−6x+9)
Apply the distributive property
x5×x2−x5×6x+x5×9
Multiply the terms
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Evaluate
x5×x2
Use the product rule an×am=an+m to simplify the expression
x5+2
Add the numbers
x7
x7−x5×6x+x5×9
Multiply the terms
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Evaluate
x5×6x
Use the commutative property to reorder the terms
6x5×x
Multiply the terms
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Evaluate
x5×x
Use the product rule an×am=an+m to simplify the expression
x5+1
Add the numbers
x6
6x6
x7−6x6+x5×9
Solution
x7−6x6+9x5
Show Solution
Find the roots
x1=0,x2=3
Evaluate
(x5)(x−3)2
To find the roots of the expression,set the expression equal to 0
(x5)(x−3)2=0
Calculate
x5(x−3)2=0
Separate the equation into 2 possible cases
x5=0(x−3)2=0
The only way a power can be 0 is when the base equals 0
x=0(x−3)2=0
Solve the equation
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Evaluate
(x−3)2=0
The only way a power can be 0 is when the base equals 0
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=0x=3
Solution
x1=0,x2=3
Show Solution