Expand the expression 2(x-6)2.

May 3, 2026Mathematics

ScanSolve AI Answer

May 3, 2026

Answer

$2x^2 - 24x + 72$

Step 1: Expand the squared term $(x-6)^2$ . We use the formula $(a-b)^2 = a^2 - 2ab + b^2$ . Here, $a=x$ and $b=6$ . $(x-6)^2 = x^2 - 2(x)(6) + 6^2$ $(x-6)^2 = x^2 - 12x + 36$

Step 2: 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: $2x^2 - 24x + 72$ Send me the next one 📸

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Quick Answer

Expand the squared term (x-6)^2. We use the formula (a-b)^2 = a^2 - 2ab + b^2.

Asked on May 3, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 3, 2026

Step 1: 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 Step 2: 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 Send me the next one 📸