Question

Factorise (p+q)^2-11(p+q)-42

Answer 1

$\huge{\mathcal\red{♡Answer:}}$

${(p + q)}^{2} - 11(p + q) - 42 \\ \\ Let \: the \: (p+q) \: be \: \: x \\ \\ According \: to \: the \: question,\\\\ \bold\green{\bf{ {x}^{2} - 11x - 42 }} \\\bold\green{\bf{ = {x}^{2} - 14x - 3x - 42 }} \\ \bold\green{\bf{ = x(x - 14) -3 (x - 14)}} \\\bold\green{\bf{ = (x - 14)(x - 3) }} \\ \bold\green{\bf{ = (p + q - 14)(p + q - 3)}}$

$\bold\blue{\boxed{\bf{Hence,\:the\:answer\:is\:(p+q-14)(p+q-3)}}}$

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