# What is the standard form of f(x)=(x-1)(x+3)-(2x-1)^2 ?

$f \left(x\right) = - 3 {x}^{2} + 6 x - 4$

#### Explanation:

$f \left(x\right) = \left(x - 1\right) \left(x + 3\right) - {\left(2 x - 1\right)}^{2}$

Expand by multiplication

$f \left(x\right) = {x}^{2} + 2 x - 3 - \left(4 {x}^{2} - 4 x + 1\right)$
f(x)=x^2+2x-3-4x^2+4x-1)

$f \left(x\right) - 3 {x}^{2} + 6 x - 4$

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