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Factorise the following

[tex](4x - \frac{1}{5} ) ^{2} - (x + \frac{1}{2} ) ^{2} [/tex]
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Answer :

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Answer:

(5x + [tex]\frac{3}{10}[/tex] )(3x - [tex]\frac{7}{10}[/tex])

Step-by-step explanation:

The expression is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Then

(4x - [tex]\frac{1}{5}[/tex] )² - (x + [tex]\frac{1}{2}[/tex] )²

= (4x - [tex]\frac{1}{5}[/tex] + x + [tex]\frac{1}{2}[/tex] )(4x -

= (5x + [tex]\frac{3}{10}[/tex] )(3x - [tex]\frac{7}{10}[/tex] )

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