Question

4(a+5)²-(4a²+40a)=.....

Answer 1

4(a+5)²-(4a²+40a)=4(a²+10a+25)-4a²-40a=100

Answer 2

To simplify the expression 4(a+5)² - (4a² + 40a), you can follow these steps:

1. Expand the square: 4(a+5)² = 4(a+5)(a+5) = 4(a² + 10a + 25)

2. Distribute the 4 to each term inside the parentheses: 4(a² + 10a + 25) = 4a² + 40a + 100

Now, you have:

4(a+5)² - (4a² + 40a) = (4a² + 40a + 100) - (4a² + 40a)

Next, subtract the second expression within the parentheses from the first:

(4a² + 40a + 100) - (4a² + 40a) = 4a² + 40a + 100 - 4a² - 40a

Now, you can simplify further:

4a² + 40a - 4a² - 40a = 0 + 100 - 0

So, the simplified expression is:

4(a+5)² - (4a² + 40a) = 100