Question

(3х-8)^2+(4х-8)(4х+8)+100х

Answer 1

Ответ:25х²+52х

Объяснение:

9х²-48х+64+16х²+32х-32х-64+100х=25х²+52х

Answer 2

To simplify the expression (3x - 8)^2 + (4x - 8)(4x + 8) + 100x, you can follow these steps:

1. Start by expanding the squared term (3x - 8)^2: (3x - 8)^2 = (3x - 8)(3x - 8) = 9x^2 - 24x - 24x + 64 = 9x^2 - 48x + 64

2. Next, multiply out the two terms in the middle: (4x - 8)(4x + 8): (4x - 8)(4x + 8) = 4x * 4x + 4x * 8 - 8 * 4x - 8 * 8 = 16x^2 + 32x - 32x - 64 = 16x^2 - 64

3. Now, add the terms together: 9x^2 - 48x + 64 + 16x^2 - 64 + 100x

4. Combine like terms: (9x^2 + 16x^2) + (-48x + 100x) + (64 - 64)

5. Simplify further: 25x^2 + 52x

So, the simplified expression is 25x^2 + 52x.