Question

(5a-4)(3a+4)-4a(3,5a+2)

Answer 1

Ответ:

Объяснение:

.................

Answer 2

(5a-4)(3a+4)-4a(3.5a+2)=a^2-16=(а-4)(а+4)

Answer 3

To simplify the expression (5a-4)(3a+4)-4a(3.5a+2), we can use the distributive property and perform the necessary multiplication and addition/subtraction. Let's break it down step by step:

Step 1: Expand the first set of parentheses: (5a-4)(3a+4) Using the distributive property, we multiply each term inside the first parentheses by each term inside the second parentheses:

(5a-4)(3a+4) = 5a * 3a + 5a * 4 - 4 * 3a - 4 * 4

Simplifying this, we have:

= 15a^2 + 20a - 12a - 16

Step 2: Expand the second set of parentheses: -4a(3.5a+2) Again, using the distributive property, we multiply -4a by each term inside the parentheses:

-4a(3.5a+2) = -4a * 3.5a - 4a * 2

Simplifying this, we have:

= -14a^2 - 8a

Now, let's combine the simplified expressions from step 1 and step 2:

(15a^2 + 20a - 12a - 16) - (14a^2 + 8a)

Step 3: Combine like terms: In this step, we combine the like terms by adding or subtracting them:

= 15a^2 + 20a - 12a - 16 - 14a^2 - 8a

Now, let's combine the like terms:

= (15a^2 - 14a^2) + (20a - 12a - 8a) - 16

Simplifying further:

= a^2 + 0a - 16

= a^2 - 16

Therefore, the simplified expression is a^2 - 16.