The algebraic expression 5x 4 – 145x 2 + 500 can be factorised as
(A) 5 x - 2 x + 2 x 2 + 25
(B) 5 x 2 + 16 x - 5 x + 5
(C) 5 x - 4 x + 4 x - 5 x + 5
(D) 5 x - 2 x + 2 x - 5 x + 5

Dear Student,
 
We have: 5x4 - 145x2 + 500Let x2 = u. 5u2 - 145u + 500= 5u2 - 29u + 100= 5u2 - 25u - 4u + 100= 5uu - 25 - 4u - 25= 5u - 25u - 4= 5x2 - 25x2 - 4                        x2 = u= 5x - 5x + 5x - 2x + 2     a2 - b2 = a + ba - b

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