Question

Написать ввиде многочлена: 1. (3x-8y)²2. (7z+11d)²3. (3,5t-4k)²4. (5k+1,2t)²100 баллов ​

Answer 1

Ответ:

1. (3x)² + (8y)² - 2×3x× 8y= 9x²+64y²-48xy

2. (7z)²+ (11d)²+ 2×7z×11d= 49z² + 121d² + 154zd

3. (3,5t)²+(4k)² -2× 3,5t×4k = 12,25t²+ 16k² - 28tk

4.(5k)² +(1,2t)²+2×5k×1,2t= 25k²+ 1,44t² + 12kt

Answer 2

1. (3x - 8y)² = (3x - 8y)(3x - 8y) = 9x² - 24xy - 24xy + 64y² = 9x² - 48xy + 64y²

2. (7z + 11d)² = (7z + 11d)(7z + 11d) = 49z² + 77zd + 77zd + 121d² = 49z² + 154zd + 121d²

3. (3.5t - 4k)² = (3.5t - 4k)(3.5t - 4k) = 12.25t² - 28tk + 28tk + 16k² = 12.25t² + 16k²

4. (5k + 1.2t)² = (5k + 1.2t)(5k + 1.2t) = 25k² + 6tk + 6tk + 1.44t² = 25k² + 12tk + 1.44t²

Note: In the fourth expression, I assumed that "1,2t" is meant to represent "1.2t" with a decimal point.