-(1+x)*2x+5(1+x)(-2x+4)

asked by guest
on Jan 16, 2025 at 8:25 am



You asked:

Evaluate the expression: \(-\left( 1 + x \right) \cdot 2 x + 5 \left(1 + x\right) \left(-\left( 2 x \right) + 4\right)\)

MathBot Answer:

Evaluated



\(\displaystyle -\left( 1 + x \right) \cdot 2 x + 5 \left(1 + x\right) \left(-\left( 2 x \right) + 4\right) = - 2 x \left(x + 1\right) + 5 \cdot \left(4 - 2 x\right) \left(x + 1\right) \)


Expanded

\[-\left( 1 + x \right) \cdot 2 x + 5 \left(1 + x\right) \left(-\left( 2 x \right) + 4\right) = - 12 x^{2} + 8 x + 20\]


Factored

\[-\left( 1 + x \right) \cdot 2 x + 5 \left(1 + x\right) \left(-\left( 2 x \right) + 4\right) = - 4 \cdot \left(3 x - 5\right) \left(x + 1\right)\]