Question

(y+x-2)^2 (3a+2b)^2(3a-2b)^2

Answer 1

Ответ:

Вот. На картинке ответы.

Answer 2

Ответ:

1) (у+х-2)² = у²+х²+(-2)²+2ух+2у×(-2)+2х×(-2) = у²+х²+4+2ху-4у-4х

2) (3а+2b)²(3a-2b)² = ((3a+2b)×3a-2b))² = (9a²-4b²)² = 81a⁴-72a²b²+16b⁴

Answer 3

It looks like you want to expand the expression:

(y + x - 2)^2 * (3a + 2b)^2 * (3a - 2b)^2

To expand this expression, you can use the distributive property and the fact that (a + b)^2 = a^2 + 2ab + b^2. Let's apply this rule to each part of the expression:

1. Expand (y + x - 2)^2: (y + x - 2)^2 = (y + x - 2)(y + x - 2)

   Use the distributive property to multiply these two binomials: (y + x - 2)(y + x - 2) = y(y + x - 2) + x(y + x - 2) - 2(y + x - 2)

   Now expand each term: y(y + x - 2) = y^2 + xy - 2y x(y + x - 2) = xy + x^2 - 2x -2(y + x - 2) = -2y - 2x + 4

   Add these terms together: (y + x - 2)^2 = y^2 + xy - 2y + xy + x^2 - 2x - 2y - 2x + 4

   Simplify: (y + x - 2)^2 = y^2 + 2xy + x^2 - 4y - 4x + 4

2. Expand (3a + 2b)^2 and (3a - 2b)^2 using the same rule: (3a + 2b)^2 = (3a)^2 + 2(3a)(2b) + (2b)^2 = 9a^2 + 12ab + 4b^2

   (3a - 2b)^2 = (3a)^2 - 2(3a)(2b) + (2b)^2 = 9a^2 - 12ab + 4b^2

Now, you can multiply these three expressions together:

(y + x - 2)^2 * (3a + 2b)^2 * (3a - 2b)^2 = (y^2 + 2xy + x^2 - 4y - 4x + 4) * (9a^2 + 12ab + 4b^2) * (9a^2 - 12ab + 4b^2)

You can further simplify this expression if needed, but this is the expanded form of the given expression.