Question
Simplify the expression
3a2−9a
Evaluate
(a−3)(3a×1)
Remove the parentheses
(a−3)×3a×1
Any expression multiplied by 1 remains the same
(a−3)×3a
Multiply the first two terms
3(a−3)a
Multiply the terms
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Evaluate
3(a−3)
Apply the distributive property
3a−3×3
Multiply the numbers
3a−9
(3a−9)a
Apply the distributive property
3a×a−9a
Solution
3a2−9a
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Find the roots
a1=0,a2=3
Evaluate
(a−3)(3a×1)
To find the roots of the expression,set the expression equal to 0
(a−3)(3a×1)=0
Multiply the terms
(a−3)×3a=0
Multiply the terms
3a(a−3)=0
Elimination the left coefficient
a(a−3)=0
Separate the equation into 2 possible cases
a=0a−3=0
Solve the equation
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Evaluate
a−3=0
Move the constant to the right-hand side and change its sign
a=0+3
Removing 0 doesn't change the value,so remove it from the expression
a=3
a=0a=3
Solution
a1=0,a2=3
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