Type a math problem or upload a photo, screenshot, handwritten question...
error msg
- Algebra
- Calculus
- Trigonometry
- Matrix
- Differential
- Integral
- Trigonometry
- Letters
Question
v^{2}+10v+16
Factor the expression
\left(v+2\right)\left(v+8\right)
Evaluate
v^{2}+10v+16
Rewrite the expression
v^{2}+\left(8+2\right)v+16
Calculate
v^{2}+8v+2v+16
Rewrite the expression
v\times v+v\times 8+2v+2\times 8
\text{Factor out }v\text{ from the expression}
v\left(v+8\right)+2v+2\times 8
\text{Factor out }2\text{ from the expression}
v\left(v+8\right)+2\left(v+8\right)
Solution
\left(v+2\right)\left(v+8\right)
Show Solutions
Find the roots
v_{1}=-8,v_{2}=-2
Evaluate
v^{2}+10v+16
To find the roots of the expression,set the expression equal to 0
v^{2}+10v+16=0
Factor the expression
More Steps
Evaluate
v^{2}+10v+16
Rewrite the expression
v^{2}+\left(8+2\right)v+16
Calculate
v^{2}+8v+2v+16
Rewrite the expression
v\times v+v\times 8+2v+2\times 8
\text{Factor out }v\text{ from the expression}
v\left(v+8\right)+2v+2\times 8
\text{Factor out }2\text{ from the expression}
v\left(v+8\right)+2\left(v+8\right)
\text{Factor out }v+8\text{ from the expression}
\left(v+2\right)\left(v+8\right)
\left(v+2\right)\left(v+8\right)=0
When the product of factors equals 0,at least one factor is 0
\begin{align}&v+2=0\\&v+8=0\end{align}
\text{Solve the equation for }v
More Steps
Evaluate
v+2=0
Move the constant to the right-hand side and change its sign
v=0-2
Removing 0 doesn't change the value,so remove it from the expression
v=-2
\begin{align}&v=-2\\&v+8=0\end{align}
\text{Solve the equation for }v
More Steps
Evaluate
v+8=0
Move the constant to the right-hand side and change its sign
v=0-8
Removing 0 doesn't change the value,so remove it from the expression
v=-8
\begin{align}&v=-2\\&v=-8\end{align}
Solution
v_{1}=-8,v_{2}=-2
Show Solutions
