Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−10x+21
Evaluate
(x−7)(x−3)
Apply the distributive property
x×x−x×3−7x−(−7×3)
Multiply the terms
x2−x×3−7x−(−7×3)
Use the commutative property to reorder the terms
x2−3x−7x−(−7×3)
Multiply the numbers
x2−3x−7x−(−21)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x2−3x−7x+21
Solution
More Steps
Evaluate
−3x−7x
Collect like terms by calculating the sum or difference of their coefficients
(−3−7)x
Subtract the numbers
−10x
x2−10x+21
Show Solution
Find the roots
x1=3,x2=7
Evaluate
(x−7)(x−3)
To find the roots of the expression,set the expression equal to 0
(x−7)(x−3)=0
Separate the equation into 2 possible cases
x−7=0x−3=0
Solve the equation
More Steps
Evaluate
x−7=0
Move the constant to the right-hand side and change its sign
x=0+7
Removing 0 doesn't change the value,so remove it from the expression
x=7
x=7x−3=0
Solve the equation
More Steps
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=7x=3
Solution
x1=3,x2=7
Show Solution