Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(b−6)(b−3)
Evaluate
b2−9b+18
Rewrite the expression
b2+(−3−6)b+18
Calculate
b2−3b−6b+18
Rewrite the expression
b×b−b×3−6b+6×3
Factor out b from the expression
b(b−3)−6b+6×3
Factor out −6 from the expression
b(b−3)−6(b−3)
Solution
(b−6)(b−3)
Show Solution
Find the roots
b1=3,b2=6
Evaluate
b2−9b+18
To find the roots of the expression,set the expression equal to 0
b2−9b+18=0
Factor the expression
More Steps
Evaluate
b2−9b+18
Rewrite the expression
b2+(−3−6)b+18
Calculate
b2−3b−6b+18
Rewrite the expression
b×b−b×3−6b+6×3
Factor out b from the expression
b(b−3)−6b+6×3
Factor out −6 from the expression
b(b−3)−6(b−3)
Factor out b−3 from the expression
(b−6)(b−3)
(b−6)(b−3)=0
When the product of factors equals 0,at least one factor is 0
b−6=0b−3=0
Solve the equation for b
More Steps
Evaluate
b−6=0
Move the constant to the right-hand side and change its sign
b=0+6
Removing 0 doesn't change the value,so remove it from the expression
b=6
b=6b−3=0
Solve the equation for b
More Steps
Evaluate
b−3=0
Move the constant to the right-hand side and change its sign
b=0+3
Removing 0 doesn't change the value,so remove it from the expression
b=3
b=6b=3
Solution
b1=3,b2=6
Show Solution