expand and fully simplify x(x+4)+3(x+4)

asked by guest
on Jan 27, 2025 at 6:46 am



You asked:

Simplify the expression: \(x \left(x + 4\right) + 3 \left(x + 4\right)\)

MathBot Answer:

Simplified:

\[ x\left( x + 4 \right) + 3 \left(x + 4\right) = x \left(x + 4\right) + 3 x + 12 \]


$$\begin{aligned}x \left(x + 4\right) + 3 \left(x + 4\right)\\x^{2} + 4 x + 3 \left(x + 4\right)\\x^{2} + 4 x + 3 x + 12\\x^{2} + 7 x + 12\end{aligned}$$


Expanded:

\[ x\left( x + 4 \right) + 3 \left(x + 4\right) = x^{2} + 7 x + 12 \]


Factored:

\[ x\left( x + 4 \right) + 3 \left(x + 4\right) = \left(x + 3\right) \left(x + 4\right) \]