Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(u+1)(u+19)
Evaluate
u2+20u+19
Rewrite the expression
u2+(19+1)u+19
Calculate
u2+19u+u+19
Rewrite the expression
u×u+u×19+u+19
Factor out u from the expression
u(u+19)+u+19
Solution
(u+1)(u+19)
Show Solution
Find the roots
u1=−19,u2=−1
Evaluate
u2+20u+19
To find the roots of the expression,set the expression equal to 0
u2+20u+19=0
Factor the expression
More Steps
Evaluate
u2+20u+19
Rewrite the expression
u2+(19+1)u+19
Calculate
u2+19u+u+19
Rewrite the expression
u×u+u×19+u+19
Factor out u from the expression
u(u+19)+u+19
Factor out u+19 from the expression
(u+1)(u+19)
(u+1)(u+19)=0
When the product of factors equals 0,at least one factor is 0
u+1=0u+19=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=−1u+19=0
Solve the equation for u
More Steps
Evaluate
u+19=0
Move the constant to the right-hand side and change its sign
u=0−19
Removing 0 doesn't change the value,so remove it from the expression
u=−19
u=−1u=−19
Solution
u1=−19,u2=−1
Show Solution