Question

(3a-2) ²- (3a+1) (a+5)

Answer 1

(3a-2) ²- (3a+1) (a+5)=9а²-12а+4-(3а²+15а+а+5)=9а²-12а+4-3а²-16а-5=6а²-28а-1

Answer 2

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Answer 3

To simplify the expression (3a-2)² - (3a+1)(a+5), you can expand and combine like terms:

(3a-2)² - (3a+1)(a+5)

First, expand (3a-2)²: (3a-2)² = (3a-2)(3a-2) = 9a² - 6a - 6a + 4 = 9a² - 12a + 4

Next, expand (3a+1)(a+5) using the distributive property: (3a+1)(a+5) = 3a(a) + 3a(5) + 1(a) + 1(5) = 3a² + 15a + a + 5 = 3a² + 16a + 5

Now, subtract the second expression from the first one:

(9a² - 12a + 4) - (3a² + 16a + 5)

Now, distribute the negative sign into the second expression:

9a² - 12a + 4 - 3a² - 16a - 5

Combine like terms:

(9a² - 3a²) + (-12a - 16a) + (4 - 5)

6a² - 28a - 1

So, the simplified expression is 6a² - 28a - 1.