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

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

in progress 0
Isabelle 4 weeks 2021-08-23T04:49:35+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-08-23T04:51:27+00:00

    Answer:

    (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+ y)(x2+ y2+ 2xy- x2+ xy- y2)

    [using identity, (a + b)2 = a2 + b2 + 2 ab)]

    = (x + y) (3xy)

    Hence, one of the factor of given polynomial is 3xy.

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )