Question

  Factorise  (x-3)^2 – 49​

Answer 1

Answer:

$(x + 4)(x - 10)$

Step-by-step explanation:

$let \: x - 3 = a$

${(x - 3)}^{2} - 49$

$= {a}^{2} - {7}^{2}$

$we \: know \: that$

${a}^{2} - {b}^{2} = (a + b)(a - b)$

$so$

${a}^{2} - {7}^{2}$

$= (a + 7)(a - 7)$

$now \: substitute \: x - 3$

$= (x - 3 + 7)(x - 3 - 7)$

$= (x + 4)(x - 10)$

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Answer 2

Answer:

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