Expand and simplify (x+5)(x+3)^2

asked by guest
on Sep 18, 2024 at 6:31 pm



You asked:

Simplify the expression: \(\left(x + 5\right) \cdot {\left( x + 3 \right)}^{2}\)

MathBot Answer:

Simplified:

\[ \left(x + 5\right) \cdot {\left( x + 3 \right)}^{2} = \left(x + 3\right)^{2} \left(x + 5\right) \]


Expanded:

\[ \left(x + 5\right) \cdot {\left( x + 3 \right)}^{2} = x^{3} + 11 x^{2} + 39 x + 45 \]


Factored:

\[ \left(x + 5\right) \cdot {\left( x + 3 \right)}^{2} = \left(x + 3\right)^{2} \left(x + 5\right) \]