$16a^{4}$ -$(2q-b)^{4}$
You asked:
Evaluate the expression: \(16 {a}^{4} - {\left( 2 q - b \right)}^{4}\)
MathBot Answer:
Evaluated
\(\displaystyle 16 {a}^{4} - {\left( 2 q - b \right)}^{4} = 16 a^{4} - \left(- b + 2 q\right)^{4} \)
Expanded
\[16 {a}^{4} - {\left( 2 q - b \right)}^{4} = 16 a^{4} - b^{4} + 8 b^{3} q - 24 b^{2} q^{2} + 32 q^{3} b - 16 q^{4}\]
Factored
\[16 {a}^{4} - {\left( 2 q - b \right)}^{4} = \left(2 a - b + 2 q\right) \left(2 a + b - 2 q\right) \left(4 a^{2} + b^{2} - 4 b q + 4 q^{2}\right)\]