Question

(2b - 3)^2-(2b-3) -12​

Answer 1

Answer:

b=0 Or B=3.5

Step-by-step explanation:

${(2b - 3)}^{2} - (2b - 3) - 12$

$let \: 2b - 3 \: be \: x$

$then \: the \: equation \: will \: be \\ = {x}^{2} - x - 12$

$= {x}^{2} - 4x + 3x - 12 \\ = x(x - 4) + 3(x - 4) \\ =( x + 3)(x - 4) \\ = x = - 3 \: or \: x = 4$

$if \: x = - 3 \: \: \: \: \\ then \: 2b - 3 = - 3 \\ = > 2b = - 3 + 3 \\ = >2 b = 0 \\ = > b = 0 \\ and \: if \: x = 4 \\ then \: 2b - 3 = 4 \\ = > 2b = 4 + 3 \\ = > 2b = 7 \\ = > b = \frac{7}{2} \: or \: 3.5$

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