Question

(2+х)² (3+х)² (4х-1)² (2х-1)² (2х+3y)² (3x-4y)² (X²-5)² (X²+5)²

Answer 1

( 2 + x )² = 4 + 4x + x²
( 3 + x )² = 9 + 6x + x²
( 4x - 1 )² = 16x² - 8x + 1 
( 2x - 1 )² = 4x² - 4x + 1 
( 2x + 3y )² = 4x² + 12xy + 9y²
( 3x - 4y )² = 9x² - 24xy + 16y²
( x² - 5 )² = x⁴ - 10x² + 25 
( x² + 5 )² = x⁴ + 10x² + 25

Answer 2

(4+4X+ X  В квадрате)
(9+6x+x в квадрате)
(16x в квадрате -8x+1)
(4x в квадр.-4x+1)
(4x в квад.+12xy+9y в квад)
(9x в квад-24xy+16y в кад)
(x в четвёртой степени-10x в квадр.+25)
(x в четвёртой степени +10x в квадрате+25)

Answer 3

To simplify this expression, we can expand each of the squared terms and then multiply them all together.

Starting with (2+x)²:

(2+x)² = (2+x)(2+x) = 4 + 4x + x²

Next, (3+x)²:

(3+x)² = (3+x)(3+x) = 9 + 6x + x²

For (4x-1)²:

(4x-1)² = (4x-1)(4x-1) = 16x² - 8x + 1

(2x-1)²:

(2x-1)² = (2x-1)(2x-1) = 4x² - 4x + 1

(2x+3y)²:

(2x+3y)² = (2x+3y)(2x+3y) = 4x² + 12xy + 9y²

(3x-4y)²:

(3x-4y)² = (3x-4y)(3x-4y) = 9x² - 24xy + 16y²

(X²-5)²:

(X²-5)² = (X²-5)(X²-5) = X⁴ - 10X² + 25

(X²+5)²:

(X²+5)² = (X²+5)(X²+5) = X⁴ + 10X² + 25

Now we can multiply all of these terms together:

(4 + 4x + x²) * (9 + 6x + x²) * (16x² - 8x + 1) * (4x² - 4x + 1) * (4x² + 12xy + 9y²) * (9x² - 24xy + 16y²) * (X⁴ - 10X² + 25) * (X⁴ + 10X² + 25)

To simplify this expression further, we can expand each term and then combine like terms:

4x⁴ + 32x³y + 88x²y² + 116xy³ + 81y⁴ + 36x⁴ + 80x³ + 54x² - 196x - 44 + 4x⁶ + 56x⁵ + 293x⁴ + 580x³ + 447x² + 250x + 25 + 16x⁴ - 16x³ + 4x² + 16x²y + 48xy² + 36y⁴ + 9x⁴ - 72x³y + 144x²y² - 192xy³ + 144y⁴ + X⁸ - 20X⁶ + 105X⁴ - 150X² + 625

So the simplified expression is:

X⁸ - 20X⁶ + 105X⁴ - 150X² + 961 + 4x⁶ + 56x⁵ + 309x⁴ + 580x³ + 510x² + 66x - 215 + 16x²y + 64xy² - 68x - 116 + 32x³y + 232x²y² - 76xy³ + 225y⁴