Question

factorise
$(x + 2)(27 - x) = 210$
​

Answer 1

$\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}$

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-factorise

$(x + 2)(27 - x) = 210$

$\huge\tt\underline\blue{ANSWER }$

------>>>>Here is your answer<<<<--------

$➠(x + 2)(27 - x) = 210$

$➠27x + 54 - {x}^{2} - 2x = 210$

$➠ - {x}^{2} + 25x - 156 = 0$

$➠ {x}^{2} - 25x + 156 = 0$

$➠ {x}^{2} - 13x - 12x + 156 = 0$

$➠x(x - 13) - 12(x - 13) = 0$

$➠(x - 13)(x - 12) = 0$

$➠x - 13 = 0$

$➠x - 12 = 0$

$➠x = 13$✓

$➠x = 12$✓

HOPE IT HELPS YOU..

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Answer 2

$(x + 2)(27 - x) = 210$

${\blue {\tt use \: the \: commutative \: property \: to \: recorder \: the \: terms}}$

$(27 - x)(x + 2) - 210 = 0$

${\blue {\tt factor \: out \: common \: factor \: from \: expression}}$

$- (x - 13)(x - 12) = 0$

$\red{ - (x - 13)(x - 12) = 0}$

$\tt \blue{ \: solving \: eq.}$

$x = 12or13$

$\tt \blue{ solutions}$

$x = 12or13$