Question

(а-3)^2 (2х+у)^2 (5в-4х)(5в+4х)​

Answer 1

a) a^2-6a+9

b) 4x^2+4xy+y^2

c) 25b^2-16x^2

Answer 2

It seems like you want me to expand the expression you've provided. Let's go step by step:

Given Expression: (а-3)^2 (2х+у)^2 (5в-4х)(5в+4х)

Step 1: Expand (а-3)^2 (a - 3)^2 = a^2 - 6a + 9

Step 2: Expand (2х+у)^2 (2x + y)^2 = 4x^2 + 2xy + y^2

Step 3: Expand (5в-4х)(5в+4х) using the difference of squares formula (5v - 4x)(5v + 4x) = (5v)^2 - (4x)^2 = 25v^2 - 16x^2

Now, let's combine all the expanded expressions:

(a - 3)^2 (2x + y)^2 (5v - 4x)(5v + 4x) = (a^2 - 6a + 9)(4x^2 + 2xy + y^2)(25v^2 - 16x^2) = (4a^2x^2 + 2a^2xy + a^2y^2 - 24ax^2 - 12axy + 9x^2 + 50a^2v^2 - 32x^2v^2 + 25v^2y^2 - 16x^2y^2)

This is the expanded form of the given expression. You can further simplify or factor out common terms if needed.