Question

1) (x+3)^2 - 1 2) 64 - (b + 1) 3) ( 4a - 3 )^2 - 16

Answer 1

1) x^2+9+6x-1= x^2+8+6x
2)64-b-1= 63-b
3)16a^2+9-24a-16= 16a^2-7-24a

Answer 2

Let's simplify each expression step by step:

1. (x+3)^2 - 1

First, let's expand the square: (x+3)^2 = (x+3)(x+3) = x^2 + 3x + 3x + 9 = x^2 + 6x + 9

Now, subtract 1 from the expanded expression: (x+3)^2 - 1 = x^2 + 6x + 9 - 1 = x^2 + 6x + 8

So the simplified expression is: x^2 + 6x + 8.

2. 64 - (b + 1)

Simply subtract (b + 1) from 64: 64 - (b + 1) = 64 - b - 1 = 63 - b

So the simplified expression is: 63 - b.

3. (4a - 3)^2 - 16

First, let's expand the square: (4a - 3)^2 = (4a - 3)(4a - 3) = 16a^2 - 12a - 12a + 9 = 16a^2 - 24a + 9

Now, subtract 16 from the expanded expression: (4a - 3)^2 - 16 = 16a^2 - 24a + 9 - 16 = 16a^2 - 24a - 7

So the simplified expression is: 16a^2 - 24a - 7.