125a ^ 3 + 75a ^ 2 * b + 15a * b ^ 2 + b ^ 3
You asked:
Evaluate the expression: \(125 \cdot {a}^{3} + 75 \cdot {a}^{2} \cdot b + 15 a \cdot {b}^{2} + {b}^{3}\)
MathBot Answer:
Evaluated
\(\displaystyle 125 \cdot {a}^{3} + 75 \cdot {a}^{2} \cdot b + 15 a \cdot {b}^{2} + {b}^{3} = 125 a^{3} + 75 a^{2} b + 15 b^{2} a + b^{3} \)
Factored
\[125 \cdot {a}^{3} + 75 \cdot {a}^{2} \cdot b + 15 a \cdot {b}^{2} + {b}^{3} = \left(5 a + b\right)^{3}\]