Expand (5x – 3y + 2) using identity.

Question

asked Aug 24, 2022 47.3k views

1 Answer

Ayyappa Boligala · Answer 1 · 2022-08-28T16:06:39+0000

Answer:

(5x - 3y + 2)^2=25x^2+9y^2+4-30xy-12y+20x

Explanation:

We need to expand (5x – 3y + 2)² using identity.

Using identity,

(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac

We have, a = 5x, b = -3y and c = 2

So,

$(5x - 3y + 2)^2=(5x)^2+(-3y)^2+2^2+2(5x)(-3y)+2(-3y)(2)+2(2)(5x)\\\\=25x^2+9y^2+4-30xy-12y+20x$

So, the required answer is
25x^2+9y^2+4-30xy-12y+20x .