Question

Which of the following is a factor of (x + y)3 – (x3 + y3)?(A)x2 + y2 + 2xy(B)x2 + y2 – xy(C)xy2(D)3xy

Answer 1

Answer:

hich of the following is a factor of (x+ y)3 – (x3 + y3)? (a) x2 + y2 + 2xy (b) x2 + y2 – xy (c) xy2 (d) 3xy

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(d) Now, (x+ y)3 – (x3 + y3) = (x + y) – (x + y)(x2– xy + y2) [using identity, a3 + b3 = (a + b)(a2 -ab+ b2)] = (x+ y)[(x+ y)2 -(x2 -xy+ y2)] = (x+ ... More