Question

1) (х – 4a)(5a + 8x) – (6a – 7х)(3x – 2a); 2) (6c + d)(8с - 9d) + (-10d + 2c)(11c - 4d);3) (2/3b- 5k)(6k – 0,3b) – (3k + 5/6b) (6b – 1,8k);4) (1/7x - 1/8y)(7y – 8x)+(y - x)(1/7x – 1/8y).​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Let's simplify each expression step by step:

1. (x - 4a)(5a + 8x) - (6a - 7x)(3x - 2a)

Expanding the expressions: = (x * 5a + x * 8x - 4a * 5a - 4a * 8x) - (6a * 3x - 6a * 2a - 7x * 3x + 7x * 2a)

Simplifying further: = 5ax + 8x^2 - 20a^2 - 32ax - 18ax + 12a^2 + 21x^2 - 14ax

Combining like terms: = (5ax - 32ax - 18ax) + (8x^2 + 21x^2) + (-20a^2 + 12a^2) = -45ax + 29x^2 - 8a^2

2. (6c + d)(8c - 9d) + (-10d + 2c)(11c - 4d)

Expanding the expressions: = (6c * 8c + 6c * (-9d) + d * 8c + d * (-9d)) + (-10d * 11c - 10d * (-4d) + 2c * 11c + 2c * (-4d))

Simplifying further: = 48c^2 - 54cd + 8cd - 9d^2 - 110cd + 40d^2 + 22c^2 - 8cd

Combining like terms: = (48c^2 + 22c^2) + (-54cd + 8cd - 110cd - 8cd) + (8cd - 9d^2 + 40d^2) = 70c^2 - 164cd + 31d^2

3. (2/3b - 5k)(6k - 0.3b) - (3k + 5/6b)(6b - 1.8k)

Expanding the expressions: = ((2/3b) * 6k - (2/3b) * 0.3b - 5k * 6k + 5k * 0.3b) - (3k * 6b - 3k * 1.8k + (5/6b) * 6b - (5/6b) * 1.8k)

Simplifying further: = (4k/3 - 0.2b/10 - 30k^2 + 1.5kb) - (18kb - 5.4k^2 + 5b - 0.15k)

Combining like terms: = (4k/3 - 30k^2) + (-18kb + 1.5kb - 5.4k^2) + (-0.2b/10 + 1.5kb + 5b - 0.15k) = -28.4k^2 - 16.5k^2 + 5.3kb - 0.2b/10 + 5b - 0.15k

4. (1/7x - 1/8y)(7y - 8x) + (y - x)(1/7x - 1/8y)

Expanding the expressions: = ((