(-2x+4)²-(-3x-9)²

asked by guest
on Sep 21, 2024 at 10:12 am



You asked:

Evaluate the expression: \({\left( -\left( 2 x \right) + 4 \right)}^{2} - {\left( -\left( 3 x \right) - 9 \right)}^{2}\)

MathBot Answer:

Evaluated



\(\displaystyle {\left( -\left( 2 x \right) + 4 \right)}^{2} - {\left( -\left( 3 x \right) - 9 \right)}^{2} = \left(4 - 2 x\right)^{2} - \left(- 3 x - 9\right)^{2} \)

Expanded

\[{\left( -\left( 2 x \right) + 4 \right)}^{2} - {\left( -\left( 3 x \right) - 9 \right)}^{2} = - 5 x^{2} - 70 x - 65\]

Factored

\[{\left( -\left( 2 x \right) + 4 \right)}^{2} - {\left( -\left( 3 x \right) - 9 \right)}^{2} = - 5 \left(x + 1\right) \left(x + 13\right)\]

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