Mathematics

49 - (x + 5)2 is equal to:

  1. (54 - x) (54 + x)

  2. (2 - x) (12 + x)

  3. 48(x + 5)2

  4. 48(x - 5)2

Factorisation

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Answer

49 - (x + 5)2

= 72 - (x + 5)2

Using the formula

[∵ (x2 - y2) = (x + y)(x - y)]

= ((7) + (x + 5))((7) - (x + 5))

= (7 + x + 5)(7 - x - 5)

= (12 + x )(2 - x )

Hence, option 2 is the correct option.

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