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Question
Factorise the following by grouping the terms:
`(1)/(25x^2) + 16x^2 + (8)/(5) - 12x - (3)/(5x)`
Solution
`(1)/(25x^2) + 16x^2 + (8)/(5) - 12x - (3)/(5x)`
= `((1)/(25x^2) + 16x^2 + (8)/(5)) - (12x + (3)/(5x))`
= `((1/5x)^2 + (4x)^2 + 2 xx (1)/(5x) xx 4x) - (12x + 3/(5x))`
= `((1)/(5x) + 4x)^2 - 3(4x + 1/(5x))`
= `((1)/(5x) + 4x)^2 - 3(1/(5x) + 4x)`
= `((1)/(5x) + 4x)(1/(5x) + 4x - 3)`.
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