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Question

25x2(x236)2=_______
  1. (x4)(x+4)(x+9)(x9)
  2. (x4)(4+x)(x+9)(9x)
  3. (x+4)(x+4)(x9)(x9)
  4. (x4)(4x)(x+9)(9+x)

A
(x4)(x+4)(x+9)(x9)
B
(x4)(4+x)(x+9)(9x)
C
(x+4)(x+4)(x9)(x9)
D
(x4)(4x)(x+9)(9+x)
Solution
Verified by Toppr

25x2(x236)2
= (5x)2(x236)2
= (5x+x236)(5xx2+36)
= (x2+5x36){(x25x36)}
= (x2+9x4x36){(x29x+4x36)}
= {x(x+9)4(x+9)}{(x(x9)+4(x9))}
= (x+9)(x4)(x9)(x+4)
= (x+9)(x4)(9x)(4+x)

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