Question

(25x^2+16y^2-(5x-4y)^2) : 10xy как вы это умудряетесь решать?

Answer 1

Нужно знать формулы,здесь формула квадрат разности 2х чисел
25x^2+16y^2-25x^2+40xy-16y^2/10xy=40xy/10xy=4
после приведения подобных в числителе останется40ху

Answer 2

(25x^2+16y^2-25x^2+40xy-16y^2):10xy=40xy:10xy=4

Answer 3

Solving the Expression (25x^2 + 16y^2 - (5x - 4y)^2) ÷ (10xy)

To solve the given expression, we can follow these steps:

1. Expand the Expression: Expand the squared term and simplify the expression. 2. Factorize: Factorize the expression if possible. 3. Simplify: Simplify the expression by canceling out common factors.

Let's go through each step in detail.

Step 1: Expand the Expression

The given expression is (25x^2 + 16y^2 - (5x - 4y)^2) ÷ (10xy).

Expanding the squared term (5x - 4y)^2, we get: (25x^2 + 16y^2 - (25x^2 - 40xy + 16y^2)) ÷ (10xy)

Simplifying the expression further, we have: (25x^2 + 16y^2 - 25x^2 + 40xy - 16y^2) ÷ (10xy) (40xy) ÷ (10xy)

Step 2: Factorize

The expression (40xy) ÷ (10xy) can be factorized as: (40xy) ÷ (10xy) = 4

Step 3: Simplify

Therefore, the simplified result of the given expression is: The result is 4.

So, the solution to the given expression (25x^2 + 16y^2 - (5x - 4y)^2) ÷ (10xy) is 4.