Question

3(5-2a)^2-4(3a-5)(7-a)+15a^2-6

Answer 1

Объяснение:

Решение на фото......

Answer 2

To simplify the expression, let's break it down step by step:

1. Simplify the square term: (5-2a)^2 = (5-2a)(5-2a) = 25 - 10a - 10a + 4a^2 = 25 - 20a + 4a^2

2. Expand the second term using the distributive property: -4(3a-5)(7-a) = -4(3a-5)(-1)(a-7) = -4(-3a+15)(a-7) = 12a^2 - 84a - 60a + 420 = 12a^2 - 144a + 420

3. Combine like terms within each term: 3(5-2a)^2 = 3(25 - 20a + 4a^2) = 75 - 60a + 12a^2 -4(3a-5)(7-a) = 12a^2 - 144a + 420 15a^2 - 6 (no simplification needed)

4. Combine all the simplified terms: (75 - 60a + 12a^2) + (12a^2 - 144a + 420) + (15a^2 - 6)

Combining like terms, we have: 75 - 60a + 12a^2 + 12a^2 - 144a + 420 + 15a^2 - 6

Combine the coefficients of like terms: (12a^2 + 12a^2 + 15a^2) + (-60a - 144a) + (75 + 420 - 6)

Combine the coefficients: 39a^2 - 204a + 489

Therefore, the simplified expression is 39a^2 - 204a + 489.