Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
w2+10w+21
Evaluate
(w+7)(w+3)
Apply the distributive property
w×w+w×3+7w+7×3
Multiply the terms
w2+w×3+7w+7×3
Use the commutative property to reorder the terms
w2+3w+7w+7×3
Multiply the numbers
w2+3w+7w+21
Solution
More Steps
Evaluate
3w+7w
Collect like terms by calculating the sum or difference of their coefficients
(3+7)w
Add the numbers
10w
w2+10w+21
Show Solution
Find the roots
w1=−7,w2=−3
Evaluate
(w+7)(w+3)
To find the roots of the expression,set the expression equal to 0
(w+7)(w+3)=0
Separate the equation into 2 possible cases
w+7=0w+3=0
Solve the equation
More Steps
Evaluate
w+7=0
Move the constant to the right-hand side and change its sign
w=0−7
Removing 0 doesn't change the value,so remove it from the expression
w=−7
w=−7w+3=0
Solve the equation
More Steps
Evaluate
w+3=0
Move the constant to the right-hand side and change its sign
w=0−3
Removing 0 doesn't change the value,so remove it from the expression
w=−3
w=−7w=−3
Solution
w1=−7,w2=−3
Show Solution