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Complete the algebra to show the function \[f(x)= 2(2x-3)(2)(4x+5)^3 -(2x-3)^2 (3)(4x+5)^2 (4) \div (4x+5)^6 simplifies to -8(2x-3)(x-7)\div (4x+5)^4 \]
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simplifies to \[-8(2x-3)(x-7)\div (4x+5)^4 \]
factor out a (2x-3) and a (4x+5)^2 (numerator)
Can you show me how this is done? I cant figure it out
\[(2(2x−3)(2)(4x+5)^{3}−(2x−3)^{2}(3)(4x+5)^{2}(4))\] \[(4x+5)^{2}*(2(2x−3)(2)(4x+5)−(2x−3)^{2}(3)(4))\]
\[\frac{ (4x+5)^{2}*(2(2x−3)(2)(4x+5)−(2x−3)^{2}(3)(4)) }{ (4x+5)^{6} }\]
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