Question

(5а-6)все в квадрате - (5а-6)*(5а +6)упростите выражение

Answer 1

Боже! Как можно этого не знать!
25а²-36

Answer 2

Simplifying the Expression: (5a-6)^2 - (5a-6)*(5a+6)

To simplify the given expression (5a-6)^2 - (5a-6)*(5a+6), we can follow these steps:

1. First, expand and simplify the expression (5a-6)^2. 2. Then, expand and simplify the expression (5a-6)*(5a+6). 3. Finally, subtract the result of the second expression from the result of the first expression.

Let's go through each step.

Step 1: Expand and Simplify (5a-6)^2

The expression (5a-6)^2 can be expanded using the formula for the square of a binomial: (a-b)^2 = a^2 - 2ab + b^2.

Expanding (5a-6)^2: (5a-6)^2 = (5a)^2 - 2*(5a)*(6) + (-6)^2

This simplifies to: (5a-6)^2 = 25a^2 - 60a + 36.

Step 2: Expand and Simplify (5a-6)*(5a+6)

The expression (5a-6)*(5a+6) can be expanded using the distributive property.

Expanding (5a-6)*(5a+6): (5a-6)*(5a+6) = 5a*(5a) + 5a*6 - 6*(5a) - 6*6 (5a-6)*(5a+6) = 25a^2 + 30a - 30a - 36 (5a-6)*(5a+6) = 25a^2 - 36.

Step 3: Subtract the Results

Now, we subtract the result of the second expression from the result of the first expression: (5a-6)^2 - (5a-6)*(5a+6) = (25a^2 - 60a + 36) - (25a^2 - 36)

Simplifying the subtraction: (5a-6)^2 - (5a-6)*(5a+6) = 25a^2 - 60a + 36 - 25a^2 + 36 (5a-6)^2 - (5a-6)*(5a+6) = -60a + 72

So, the simplified expression is -60a + 72.

Therefore, the simplified form of the expression (5a-6)^2 - (5a-6)*(5a+6) is -60a + 72.