(10a^4b^2 - 5a^3b^3 + a^2b^2)

asked by guest
on Sep 22, 2024 at 1:36 am



You asked:

Evaluate the expression: \(10 \cdot {a}^{4} \cdot {b}^{2} - 5 \cdot {a}^{3} \cdot {b}^{3} + {a}^{2} \cdot {b}^{2}\)

MathBot Answer:

Evaluated



\(\displaystyle 10 \cdot {a}^{4} \cdot {b}^{2} - 5 \cdot {a}^{3} \cdot {b}^{3} + {a}^{2} \cdot {b}^{2} = 10 a^{4} b^{2} - 5 a^{3} b^{3} + a^{2} b^{2} \)


Factored

\[10 \cdot {a}^{4} \cdot {b}^{2} - 5 \cdot {a}^{3} \cdot {b}^{3} + {a}^{2} \cdot {b}^{2} = a^{2} b^{2} \cdot \left(10 a^{2} - 5 a b + 1\right)\]