Question

(4+4√2)²+4² помогите пж

Answer 1

1)по формуле квадрат суммы

16+2*4*4√2+16*2+16

2)16+32√2+32+16

3)32+32+32√2

4)32(1+1+√2)

5)32(2+√2)

Answer 2

Sure, I can help you with that mathematical expression!

Let's simplify the expression step by step:

Step 1: Expand the square of the binomial (4 + 4√2)². (4 + 4√2)² = (4 + 4√2) × (4 + 4√2) = 4 × 4 + 4 × 4√2 + 4√2 × 4 + 4√2 × 4√2 = 16 + 16√2 + 16√2 + 32 (since √2 × √2 = 2) = 16 + 32√2 + 32

Step 2: Square 4 to get 4². 4² = 4 × 4 = 16

Now, let's put it all together:

(4 + 4√2)² + 4² = (16 + 32√2 + 32) + 16 = 16 + 32√2 + 32 + 16 = 64 + 32√2

So, the simplified expression is 64 + 32√2.