Question

(2+y)квадрате (6-С)квадрате (2х+9)квадрате (7m-3m)квадрате

Answer 1

(2+у)²=2²+2×2×у+у²=4+4у+у²;

(6-с)²=6²-2×6×с+с²=36-12с+с²;

(2х+9)²=(2х)²+2×2х×9+9²=4х²+36х+81;

(7m-3m)²=(4m)²=16m²

Answer 2

(2+y)^2 = 4+4y+y^2

(6-c)^2 =36-12c+c^2

(2x+9)^2 =4x^2+36x+81

(7m-3m)^2=49m^2-42m^2+9m^2=16m^2

Answer 3

To expand the given expression, let's simplify each part step by step:

1. Expand (2+y)^2: (2+y)^2 = (2+y)(2+y) = 2(2) + 2y + y(2) + y(y) = 4 + 2y + 2y + y^2 = 4 + 4y + y^2

2. Expand (6-С)^2: (6-С)^2 = (6-С)(6-С) = 6(6) - 6С - C(6) - C(С) = 36 - 6С - 6С + C^2 = 36 - 12С + C^2

3. Expand (2х+9)^2: (2х+9)^2 = (2х+9)(2х+9) = 2х(2х) + 2х(9) + 9(2х) + 9(9) = 4х^2 + 18х + 18х + 81 = 4х^2 + 36х + 81

4. Expand (7m-3m)^2: (7m-3m)^2 = (4m)^2 = 4m * 4m = 16m^2

Now, combine all the expanded parts:

(2+y)^2 * (6-С)^2 * (2х+9)^2 * (7m-3m)^2 = (4 + 4y + y^2) * (36 - 12С + C^2) * (4х^2 + 36х + 81) * 16m^2

Multiplying all the terms together:

= 16m^2 * (4 + 4y + y^2) * (36 - 12С + C^2) * (4х^2 + 36х + 81)

Now, this is the expanded form of the given expression. If you have specific values for the variables (y, C, x, and m), you can substitute them into the expression to get the final result.