Question

x^2-13x+14x-182=0 solve by taking common

Answer 1

Question :-

Factorize :- $x^2 + x - 182$

Solution :-

We have :

$\bold {x^2 + x - 182} \implies \boxed {\bold {x^2 - 13x + 14x - 182}}\\\\\Rightarrow (x \times x) - 1 \times (13 \times x) + (2 \times 7 \times x) -1 \times (2 \times 7 \times 13)\\\\\\\mathfrak {Picking\: out\: the\: Common\: Factors, we\: get ;}\\\\\Rightarrow x (x - 13) + 14 (x - 13)\\\\= \boxed {\bold {(x - 13)(x + 14)}}$

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Thus, the Factorized Form of $\bold {x^2 + x - 182}$ is $\boxed {\bold {(x - 13)(x + 14)}}$

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