Question

Factorise
$(a) \: \: 108 {a}^{2} - 192$
$(b) \: {x}^{2} + 14x + 45$
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Answer 1

$\sf \bullet A \to\\\\\\\left(a\right)\cdot \:108a^2-192\\\\\\=a\cdot \:108a^2-192\\\\\\\to \boxed{\sf =108a^3-192}$

$\sf \bullet B\to\\\\\\(b)x^2+14x+45\\\\\\=\left(x^2+5x\right)+\left(9x+45\right)\\\\\\=x\left(x+5\right)+9\left(x+5\right)\\\\\\\to \boxed{\sf \red{=\left(x+5\right)\left(x+9\right)}}$