What is the standard form of  y= (5x-9)(3x+4)+(x-3)^2?

Feb 23, 2016

$16 {x}^{2} - 13 x - 27$

Explanation:

Distribute each 'pair' of brackets using FOIL , or any method you have for multiplying brackets.

{(5x - 9 )(3x + 4 )] + [ (x - 3 )(x - 3 ) ]

$= 15 {x}^{2} + 20 x - 27 x - 36 + {x}^{2} - 3 x - 3 x + 9$

'collect like terms' , starting with the highest power terms and decreasing.

$= 16 {x}^{2} - 13 x - 27$