Question

7(2a+5)^2+5(2a-7)^2=

Answer 1

Ответ:

48a^2+420

Пошаговое объяснение:

7(2а+5)^2+5(2a-7)^2=7(4a^2+20a+25)+5(4a^2-28a+49)=28a^2+140a+175+20a^2-140a+245=48a^2+420

Answer 2

The expression you've provided is an algebraic equation. To solve it, we need to simplify and solve for the variable "a." Let's work through the steps:

Given equation: 7(2a+5)^2 + 5(2a-7)^2 = ?

Step 1: Expand the squared terms. Expand (2a+5)^2: (2a+5)^2 = (2a+5)(2a+5) = 4a^2 + 20a + 25 Expand (2a-7)^2: (2a-7)^2 = (2a-7)(2a-7) = 4a^2 - 28a + 49

Step 2: Substitute the expanded expressions back into the equation. 7(4a^2 + 20a + 25) + 5(4a^2 - 28a + 49) = ?

Step 3: Distribute the constants. 28a^2 + 140a + 175 + 20a^2 - 140a + 245 = ?

Step 4: Combine like terms. (28a^2 + 20a^2) + (140a - 140a) + (175 + 245) = ?

48a^2 + 420 = ?

Now, the equation becomes: 48a^2 + 420 = 0

Step 5: Subtract 420 from both sides to isolate the squared term. 48a^2 = -420

Step 6: Divide by 48 to solve for "a^2." a^2 = -420 / 48

Step 7: Take the square root to find the possible solutions for "a." a = ±√(-420 / 48)

It seems that the expression under the square root is negative, which means the solutions would involve imaginary numbers. In real numbers, this equation doesn't have real solutions for "a." If you're looking for solutions involving complex numbers, you can proceed with the square root of a negative value. If this equation arises from a specific problem, double-check the equation and its context to make sure everything is accurate.