Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(u−23)(u+1)
Evaluate
u2−22u−23
Rewrite the expression
u2+(1−23)u−23
Calculate
u2+u−23u−23
Rewrite the expression
u×u+u−23u−23
Factor out u from the expression
u(u+1)−23u−23
Factor out −23 from the expression
u(u+1)−23(u+1)
Solution
(u−23)(u+1)
Show Solution
Find the roots
u1=−1,u2=23
Evaluate
u2−22u−23
To find the roots of the expression,set the expression equal to 0
u2−22u−23=0
Factor the expression
More Steps
Evaluate
u2−22u−23
Rewrite the expression
u2+(1−23)u−23
Calculate
u2+u−23u−23
Rewrite the expression
u×u+u−23u−23
Factor out u from the expression
u(u+1)−23u−23
Factor out −23 from the expression
u(u+1)−23(u+1)
Factor out u+1 from the expression
(u−23)(u+1)
(u−23)(u+1)=0
When the product of factors equals 0,at least one factor is 0
u−23=0u+1=0
Solve the equation for u
More Steps
Evaluate
u−23=0
Move the constant to the right-hand side and change its sign
u=0+23
Removing 0 doesn't change the value,so remove it from the expression
u=23
u=23u+1=0
Solve the equation for u
More Steps
Evaluate
u+1=0
Move the constant to the right-hand side and change its sign
u=0−1
Removing 0 doesn't change the value,so remove it from the expression
u=−1
u=23u=−1
Solution
u1=−1,u2=23
Show Solution