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

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Answer 1 · 2016-03-22T19:52:12

$2x^2+4x+2$

Write as: $" "color(brown)(color(blue)((2x+1))(x+3)-color(green)((3x-1))(3x-1))$

$color(brown)(color(blue)(2x)(x+3)color(blue)(+1)(x+3)-[color(green)(3x)(3x-1)color(green)(-1)(3x-1)]$

$color(brown)(color(blue)(2x)(x+3)color(blue)(+1)(x+3)-color(green)(3x)(3x-1)color(green)(+1)(3x-1)$

$2x^2+6x+x+3-9x+3x+3x-1$

Grouping terms

$2x^2 +(6x+x-9x+3x+3x)+(3-1)$

$2x^2+4x+2$

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