36(x-4x)²-
9(4x-y)²
You asked:
Evaluate the expression: \(36 \cdot {\left( x - 4 x \right)}^{2} - 9 \cdot {\left( 4 x - y \right)}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle 36 \cdot {\left( x - 4 x \right)}^{2} - 9 \cdot {\left( 4 x - y \right)}^{2} = 324 x^{2} - 9 \left(4 x - y\right)^{2} \)
Expanded
\[36 \cdot {\left( x - 4 x \right)}^{2} - 9 \cdot {\left( 4 x - y \right)}^{2} = 180 x^{2} + 72 x y - 9 y^{2}\]
Factored
\[36 \cdot {\left( x - 4 x \right)}^{2} - 9 \cdot {\left( 4 x - y \right)}^{2} = 9 \cdot \left(2 x + y\right) \left(10 x - y\right)\]