Question

(X-4y)в квадрате +4x(2x-4y)

Answer 1

$(x-4y)^2 +4x(2x-4y) =x^2-8xy+16y^2+8x^2-16xy=9x^2 - 24xy + 16y^2$

Answer 2

To simplify the expression, let's start by expanding the squared term and then combining like terms:

1. First, let's expand (x - 4y)²: (x - 4y)² = (x - 4y)(x - 4y) = x(x) + x(-4y) - 4y(x) - 4y(-4y) = x² - 4xy - 4xy + 16y² = x² - 8xy + 16y²

2. Next, let's expand 4x(2x - 4y): 4x(2x - 4y) = 4x * 2x - 4x * 4y = 8x² - 16xy

Now, the simplified expression is the sum of the expanded terms:

(x - 4y)² + 4x(2x - 4y) = (x² - 8xy + 16y²) + (8x² - 16xy)

Now, combine like terms:

= x² + 8x² - 8xy - 16xy + 16y²

= (x² + 8x²) + (-8xy - 16xy) + 16y²

= 9x² - 24xy + 16y²

So, the simplified expression is 9x² - 24xy + 16y².