4(2x-3)^2-(x+2)^2

asked by guest
on Jan 12, 2025 at 6:01 am



You asked:

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

MathBot Answer:

Evaluated



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

Expanded

\[4 {\left( 2 x - 3 \right)}^{2} - {\left( x + 2 \right)}^{2} = 15 x^{2} - 52 x + 32\]

Factored

\[4 {\left( 2 x - 3 \right)}^{2} - {\left( x + 2 \right)}^{2} = \left(3 x - 8\right) \left(5 x - 4\right)\]

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