Step 1: Rearrange the equation to set it equal to zero. 2x² = 8; 2x² − 8 = 0 Step 2: Factor out the common numerical factor. 2(x² − 4) = 0; Step 3: Recognize the expression inside the parentheses as a difference of squares, a² − b² = (a−b)(a+b), where a=x and b=2. 2(x − 2)(x + 2) = 0; The factorized form of the equation is 2(x − 2)(x + 2) = 0.

Factorise 2x²=8

June 16, 2026Mathematics

ScanSolve AI Answer

Answer

2(x - 2)(x + 2) = 0

Step-by-step solution

3 steps

Rearrange the equation to set it equal to zero.
$2x^2 = 8$ $2x^2 - 8 = 0$
Factor out the common numerical factor.
$2(x^2 - 4) = 0$
Recognize the expression inside the parentheses as a difference of squares, $a^2 - b^2 = (a-b)(a+b)$ , where $a=x$ and $b=2$ .
$2(x - 2)(x + 2) = 0$