Question

how to factorise 1/3x^2-2x+7/16

Answer 1

Here, given expression x² - 2x + 7 / 16

squaring both sides we get,

=> 16x² - 32x + 7 / 16

= > 16x² - ( 28 + 4 ) x + 7 / 16

= > 16x² - 28x - 4x + 7 / 16

= > 4x ( 4x - 7 ) -1 ( 4x - 7 ) / 16

= > ( 4x - 7 ) ( 4x - 1 ) / 16

= > 1 / 16 ( 4x - 7 )( 4x - 1 )