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Expand the expression 2(x-6)2.

May 3, 2026Mathematics

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Answer

2x^2 - 24x + 72

Step-by-step solution

2 steps

Expand the squared term $(x-6)^2$ .
We use the formula $(a-b)^2 = a^2 - 2ab + b^2$ . Here, $a=x$ and $b=6$ .
$(x-6)^2 = x^2 - 2(x)(6) + 6^2$ $(x-6)^2 = x^2 - 12x + 36$
Multiply the expanded expression by 2.
$2(x^2 - 12x + 36) = 2(x^2) - 2(12x) + 2(36)$ $2(x^2 - 12x + 36) = 2x^2 - 24x + 72$
The expanded form is:
$2x^2 - 24x + 72$

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