Question

25а² - (а-2)² решить ​

Answer 1

$\displaystyle \tt 25a^2-(a-2)^2=25a^2-(a^2-4a+4)=25a^2-a^2+4a-4=\bold{24a^2+4a-4}$

Answer 2

To solve the expression 25a² - (a-2)², we need to expand the square term (a-2)² and then perform the subtraction. Let's go through the steps:

Step 1: Expand the square term (a-2)² (a-2)² = (a-2)(a-2) = a² - 2a - 2a + 4 = a² - 4a + 4

Step 2: Substitute the expanded term back into the original expression 25a² - (a-2)² = 25a² - (a² - 4a + 4)

Step 3: Distribute the negative sign to all terms inside the parentheses 25a² - (a² - 4a + 4) = 25a² - a² + 4a - 4

Step 4: Combine like terms 25a² - a² = 24a²

Final result: The simplified expression is 24a² + 4a - 4.