Answer:
[tex](5x - 3y + 2)^2=25x^2+9y^2+4-30xy-12y+20x[/tex]
Step-by-step explanation:
We need to expand (5x – 3y + 2)² using identity.
Using identity,
[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac[/tex]
We have, a = 5x, b = -3y and c = 2
So,
[tex](5x - 3y + 2)^2=(5x)^2+(-3y)^2+2^2+2(5x)(-3y)+2(-3y)(2)+2(2)(5x)\\\\=25x^2+9y^2+4-30xy-12y+20x[/tex]
So, the required answer is [tex]25x^2+9y^2+4-30xy-12y+20x[/tex].