(a^{2}+b^{2})( -a^{2} +b^{2})
You asked:
Evaluate the expression: \(\left({a}^{2} + {b}^{2}\right) \cdot \left(-{a}^{2} + {b}^{2}\right)\)
MathBot Answer:
Evaluated
\(\displaystyle \left({a}^{2} + {b}^{2}\right) \cdot \left(-{a}^{2} + {b}^{2}\right) = \left(- a^{2} + b^{2}\right) \left(a^{2} + b^{2}\right) \)
Expanded
\[\left({a}^{2} + {b}^{2}\right) \cdot \left(-{a}^{2} + {b}^{2}\right) = - a^{4} + b^{4}\]
Factored
\[\left({a}^{2} + {b}^{2}\right) \cdot \left(-{a}^{2} + {b}^{2}\right) = - \left(a^{2} + b^{2}\right) \left(a - b\right) \left(a + b\right)\]