Question

factorise
$(x + 2)(27 - x) = 210$
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Answer 1

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Q:-factorise

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

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

$➠(x + 2)(27 - x) = 210$

$➠27x + 54 - {x}^{2} - 2x = 210$

$➠ - {x}^{2} + 25x - 156 = 0$

$➠ {x}^{2} - 25x + 156 = 0$

$➠ {x}^{2} - 13x - 12x + 156 = 0$

$➠x(x - 13) - 12(x - 13) = 0$

$➠(x - 13)(x - 12) = 0$

$➠x - 13 = 0$

$➠x - 12 = 0$

$➠x = 13$✓

$➠x = 12$✓

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Answer 2

Step-by-step explanation:

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

$27x - {x}^{2} + 54 - 2x = 210$

$- {x}^{2} + 54 + 25x - 210 = 0$

$- {x}^{2} + 25x - 156 = 0$

Now multiply the whole equation by -1

${x}^{2} - 25x + 156 = 0$

${x}^{2} - 13x - 12x + 156 = 0$

$x(x - 13) - 12(x - 13)$

$(x - 12)(x - 13)$

so x=12 & 13

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