8. Factorise: x root 4 + 64.
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Rewrite x4 as (x2)2 ( x 2 ) 2 . Rewrite 64 as 82 . Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 - b 2 = ( a + b ) ( a - b ) where a=x2 a = x 2 and b=8 .
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