Mathematics
Factorise the following:
(2x - y)2 - 11(2x - y) + 28
Factorisation
23 Likes
Answer
Let (2x - y) = a.
(2x - y)2 - 11(2x - y) + 28 = a2 - 11a + 28.
Factorising we get,
a2 - 11a + 28 = a2 - 7a - 4a + 28.
= a(a - 7) - 4(a - 7)
= (a - 7)(a - 4)
= (2x - y - 7)(2x - y - 4).
Hence, (2x - y)2 - 11(2x - y) + 28 = (2x - y - 7)(2x - y - 4).
Answered By
16 Likes