x(x^2-1)+7(x^2-1)
You asked:
Evaluate the expression: \(x \cdot \left({x}^{2} - 1\right) + 7 \cdot \left({x}^{2} - 1\right)\)
MathBot Answer:
Evaluated
\(\displaystyle x \cdot \left({x}^{2} - 1\right) + 7 \cdot \left({x}^{2} - 1\right) = 7 x^{2} + x \left(x^{2} - 1\right) - 7 \)
Expanded
\[x \cdot \left({x}^{2} - 1\right) + 7 \cdot \left({x}^{2} - 1\right) = x^{3} + 7 x^{2} - x - 7\]
Factored
\[x \cdot \left({x}^{2} - 1\right) + 7 \cdot \left({x}^{2} - 1\right) = \left(x - 1\right) \left(x + 1\right) \left(x + 7\right)\]