Question

Factoring with repeated of the difference of square formula. Factor the answer completely.

3y4 – 3u4y4.
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Answer 1

3y4 – 3u4y4.

= 3y4(1 – u4).

= 3y4(1 – (u2)2).

= 3y4(1 + u2)( 1 - u2) [since we know a2 – b2 = (a + b)(a – b)].

= 3y4(1 + u2)( 1 + u) ( 1 - u).

Answer: 3y4(1 + u2)( 1 + u) ( 1 - u).