Question

Factorize the trinomial (2x+3)(x-4) -6​

Answer 1

Question :-

• Factorize the trinomial (2x+3)(x-4) -6

Answer :-

Given :-

$\bf \:(2x+3)(x-4) -6$

To find :-

• Factors

$\bf \:Factorize \: the \: trinomial \: (2x+3)(x-4) -6$

Method used :-

• Splitting of middle terms

Solution :-

$\bf\implies \:(2x+3)(x-4) -6$

$\bf\implies \: {2x}^{2} + 3x - 8x - 12 - 6$

$\bf\implies \: {2x}^{2} - 5x - 18$

$\bf\implies \: {2x}^{2} - 9x + 4x - 18$

$\bf\implies \:x(2x - 9) + 2(2x - 9)$

$\bf\implies \:(x + 2)(2x - 9)$

$\bf\implies \:(2x+3)(x-4) -6 = (x + 2)(2x - 9)$

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