<PRE><B>Question 927164</B>
&lt;pre&gt;
2x² - 8 - (x + 2)(-2x + 6)

2(x² - 4) - (x + 2)(-2x + 6)

Factorise x² - 4 as (x - 2)(x + 2)

Factorise -2x + 6 as -2(x - 3)

2(x - 2)(x + 2) - (x + 2)[-2(x - 3)]

2(x - 2)(x + 2) + 2(x + 2)(x - 3) 

2(x + 2) is a common factor of bath as you see by the red coloring:

&lt;font color=&quot;red&quot;&gt;&lt;b&gt;2&lt;/font&gt;&lt;/b&gt;(x - 2)&lt;font color=&quot;red&quot;&gt;&lt;b&gt;(x + 2)&lt;/font&gt;&lt;/b&gt; + &lt;font color=&quot;red&quot;&gt;&lt;b&gt;2(x + 2)&lt;/font&gt;&lt;/b&gt;(x - 3)

&lt;font color=&quot;red&quot;&gt;&lt;b&gt;2(x + 2)&lt;/font&gt;&lt;/b&gt;[(x - 2) + (x - 3)]

&lt;font color=&quot;red&quot;&gt;&lt;b&gt;2(x + 2)&lt;/font&gt;&lt;/b&gt;[x - 2 + x - 3]

&lt;font color=&quot;red&quot;&gt;&lt;b&gt;2(x + 2)&lt;/font&gt;&lt;/b&gt;(2x - 5)

Without the red coloring:

2(x + 2)(2x - 5)

Edwin&lt;/pre&gt;
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