Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
21m2−3m+4
Evaluate
(m−2)(m−4)×21
Multiply the terms
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Evaluate
(m−2)×21
Apply the distributive property
m×21−2×21
Use the commutative property to reorder the terms
21m−2×21
Multiply the numbers
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Evaluate
−2×21
Reduce the numbers
−1×1
Simplify
−1
21m−1
(21m−1)(m−4)
Apply the distributive property
21m×m−21m×4−m−(−4)
Multiply the terms
21m2−21m×4−m−(−4)
Multiply the numbers
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Evaluate
21×4
Reduce the numbers
1×2
Simplify
2
21m2−2m−m−(−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
21m2−2m−m+4
Solution
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Evaluate
−2m−m
Collect like terms by calculating the sum or difference of their coefficients
(−2−1)m
Subtract the numbers
−3m
21m2−3m+4
Show Solution
Find the roots
m1=2,m2=4
Evaluate
(m−2)(m−4)×21
To find the roots of the expression,set the expression equal to 0
(m−2)(m−4)×21=0
Multiply the terms
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Multiply the terms
(m−2)(m−4)×21
Multiply the terms
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Evaluate
(m−2)×21
Apply the distributive property
m×21−2×21
Use the commutative property to reorder the terms
21m−2×21
Multiply the numbers
21m−1
(21m−1)(m−4)
(21m−1)(m−4)=0
Separate the equation into 2 possible cases
21m−1=0m−4=0
Solve the equation
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Evaluate
21m−1=0
Move the constant to the right-hand side and change its sign
21m=0+1
Removing 0 doesn't change the value,so remove it from the expression
21m=1
Multiply by the reciprocal
21m×2=1×2
Multiply
m=1×2
Any expression multiplied by 1 remains the same
m=2
m=2m−4=0
Solve the equation
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Evaluate
m−4=0
Move the constant to the right-hand side and change its sign
m=0+4
Removing 0 doesn't change the value,so remove it from the expression
m=4
m=2m=4
Solution
m1=2,m2=4
Show Solution