(a+8b)²-(6a-b)²
You asked:
Evaluate the expression: \({\left( a + 8 b \right)}^{2} - {\left( 6 a - b \right)}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle {\left( a + 8 b \right)}^{2} - {\left( 6 a - b \right)}^{2} = - \left(6 a - b\right)^{2} + \left(a + 8 b\right)^{2} \)
Expanded
\[{\left( a + 8 b \right)}^{2} - {\left( 6 a - b \right)}^{2} = - 35 a^{2} + 28 a b + 63 b^{2}\]
Factored
\[{\left( a + 8 b \right)}^{2} - {\left( 6 a - b \right)}^{2} = - 7 \cdot \left(5 a - 9 b\right) \left(a + b\right)\]