Question

10^2×(5^3:5^2)=(2a-5)^2+(1-3a)=​

Answer 1

Ответ:

Объяснение:

10^2×(5^3:5^2)=10^2 * 5^(3-2)=10^2*5=100*5=500.

(2a-5)^2+(1-3a)=​4a^2-20a+25+1-3a=4a^2-23a+26.

Answer 2

Let's break down the expression step by step:

1. Start with the expression on the left side: 10^2 * (5^3 / 5^2)

2. Calculate the exponents: 10^2 = 100 5^3 = 125 5^2 = 25

3. Perform the division: 125 / 25 = 5

So, the expression simplifies to: 100 * 5 = 500

Now, let's simplify the right side of the equation: (2a - 5)^2 + (1 - 3a)

1. Expand the square: (2a - 5)^2 = (2a - 5)(2a - 5) = 4a^2 - 10a - 10a + 25 = 4a^2 - 20a + 25

2. Combine like terms: (1 - 3a)

Now, the right side of the equation is: 4a^2 - 20a + 25 + (1 - 3a)

3. Combine like terms again: 4a^2 - 20a + 25 + 1 - 3a

Now, let's simplify the right side further: 4a^2 - 20a - 3a + 25 + 1

4. Combine like terms one more time: 4a^2 - 23a + 26

So, the equation becomes: 500 = 4a^2 - 23a + 26

Now, you have a quadratic equation. If you want to solve for 'a,' you can use the quadratic formula or factor it. If you'd like to solve for 'a,' please specify, and I can help you further.