Question

(3a - 2b)^2 - 3a(4a-4b) упростите выражение. что если b = 1/2 ?

Answer 1

9a^2-12ab+4b^2-12a^2+12ab=-3a^2+4b^2, при b=1/2
-3а^2+4×1/4=-3a^2+1

Answer 2

Якщо я зрозуміла напевно це так... якщо я не так зрозуміла я можу переробити

Answer 3

To simplify the expression (3a - 2b)^2 - 3a(4a - 4b), let's first substitute the value b = 1/2 and then perform the simplification step by step.

Step 1: Substitute b = 1/2 into the expression. (3a - 2(1/2))^2 - 3a(4a - 4(1/2))

Step 2: Simplify the expression inside the parentheses. (3a - 1)^2 - 3a(4a - 2)

Step 3: Expand the squared term (a - b)^2 = a^2 - 2ab + b^2. (9a^2 - 6a + 1) - 3a(4a - 2)

Step 4: Distribute the -3a across the terms inside the parentheses. 9a^2 - 6a + 1 - 12a^2 + 6a

Step 5: Combine like terms. (9a^2 - 12a^2) + (-6a + 6a) + 1

Step 6: Simplify further. -3a^2 + 1

So, the simplified expression for (3a - 2b)^2 - 3a(4a - 4b) when b = 1/2 is -3a^2 + 1.