9(a-b)^2-100(x-y)^2
You asked:
Evaluate the expression: \(9 {\left( a - b \right)}^{2} - 100 {\left( x - y \right)}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle 9 {\left( a - b \right)}^{2} - 100 {\left( x - y \right)}^{2} = 9 \left(a - b\right)^{2} - 100 \left(x - y\right)^{2} \)
Expanded
\[9 {\left( a - b \right)}^{2} - 100 {\left( x - y \right)}^{2} = 9 a^{2} - 18 a b + 9 b^{2} - 100 x^{2} + 200 x y - 100 y^{2}\]
Factored
\[9 {\left( a - b \right)}^{2} - 100 {\left( x - y \right)}^{2} = \left(3 a - 3 b - 10 x + 10 y\right) \left(3 a - 3 b + 10 x - 10 y\right)\]