(4x3y – 6x2y2 + 4xy3 – y4) can be expressed as
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. x4 – (x – y)4
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Understanding |
Application |
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a2 – b2 = (a + b) (a – b) |
= x4 – (x – y)4 = (x2 + (x – y)2) (x2 – x2 – y2 + 2xy) = (2x2 + y2 – 2xy) (2xy – y2) = (4x3y – 6x2y2 + 4xy3 – y4) |