Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
13a3−26a2
Evaluate
13a(a2−2a)
Apply the distributive property
13a×a2−13a×2a
Multiply the terms
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Evaluate
a×a2
Use the product rule an×am=an+m to simplify the expression
a1+2
Add the numbers
a3
13a3−13a×2a
Solution
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Evaluate
13a×2a
Multiply the numbers
26a×a
Multiply the terms
26a2
13a3−26a2
Show Solution
Factor the expression
13a2(a−2)
Evaluate
13a(a2−2a)
Factor the expression
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Evaluate
a2−2a
Rewrite the expression
a×a−a×2
Factor out a from the expression
a(a−2)
13a×a(a−2)
Solution
13a2(a−2)
Show Solution
Find the roots
a1=0,a2=2
Evaluate
(13a)(a2−2a)
To find the roots of the expression,set the expression equal to 0
(13a)(a2−2a)=0
Multiply the terms
13a(a2−2a)=0
Elimination the left coefficient
a(a2−2a)=0
Separate the equation into 2 possible cases
a=0a2−2a=0
Solve the equation
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Evaluate
a2−2a=0
Factor the expression
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Evaluate
a2−2a
Rewrite the expression
a×a−a×2
Factor out a from the expression
a(a−2)
a(a−2)=0
When the product of factors equals 0,at least one factor is 0
a=0a−2=0
Solve the equation for a
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Evaluate
a−2=0
Move the constant to the right-hand side and change its sign
a=0+2
Removing 0 doesn't change the value,so remove it from the expression
a=2
a=0a=2
a=0a=0a=2
Find the union
a=0a=2
Solution
a1=0,a2=2
Show Solution