Question:
Tick (✓) the correct answer:
(x − 6)(x − 6) = ?
(a) (x2 − 36)
(b) (x2 + 36)
(c) (x2 − 6x + 36)
(d) (x2 − 12x + 36)
Solution:
(d) $\left(x^{2}-12 x+36\right)$
$(x-6)(x-6)$
$\Rightarrow(x-6)^{2}$ (according to the formula $\left.(a-b)^{2}=a^{2}-2 a b+b^{2}\right)$
$\Rightarrow\left(x^{2}\right)-2(x)(6)+(6)^{2}$
$\Rightarrow x^{2}-12 x+36$
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