Factorise:1. x^4 +9

2.4x^2-y^2-3xy+2x-2y

3.x^4-y^4+2y^2-1

Asked by hemanginivyas92.9spicertl | 26th Aug, 2020, 10:43: PM

Expert Answer:

TO factorise: x4+9
x4+9 = (x2 + 3)2 - 6x2 
straight x to the power of 4 plus 9 equals open parentheses straight x squared plus 3 close parentheses squared minus open parentheses square root of 6 straight x close parentheses squared equals open square brackets straight x squared plus 3 minus square root of 6 straight x close square brackets open square brackets straight x squared plus 3 plus square root of 6 straight x close square brackets
To factorise: 4x2 - y2 - 3xy + 2x - 2y
4 straight x squared minus straight y squared minus 3 xy plus 2 straight x minus 2 straight y
equals left parenthesis 4 straight x plus straight y right parenthesis left parenthesis straight x minus straight y right parenthesis plus 2 left parenthesis straight x minus straight y right parenthesis
equals left parenthesis straight x minus straight y right parenthesis left parenthesis 4 straight x plus straight y plus 2 right parenthesis
 

Answered by Renu Varma | 27th Aug, 2020, 11:16: AM