Question

4a(a-2)-(a4)в квадрате​

Answer 1

4а(а-2) -(а4)(а4)= 4а*а - 8а -16а*а=-12а*а - 8а

Answer 2

-12а*а - 8а ....................................

Answer 3

To simplify the expression (4a(a-2) - (a^4))^2, we need to follow these steps:

Step 1: Simplify the expression inside the parentheses. Step 2: Square the result from Step 1.

Let's start with Step 1:

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

To do this, first, distribute the 4a into the parentheses:

4a * (a - 2) = 4a^2 - 8a

So the expression becomes:

(4a^2 - 8a - a^4)

Step 2: Square the result from Step 1:

(4a^2 - 8a - a^4)^2

To square this expression, we need to multiply it by itself:

(4a^2 - 8a - a^4) * (4a^2 - 8a - a^4)

Now, we apply the FOIL method (First, Outer, Inner, Last) to multiply the two binomials:

First: (4a^2) * (4a^2) = 16a^4 Outer: (4a^2) * (-8a) = -32a^3 Inner: (-8a) * (4a^2) = -32a^3 Last: (-8a) * (-8a) = 64a^2

Combine the like terms:

16a^4 - 32a^3 - 32a^3 + 64a^2

Now, combine the like terms again:

16a^4 - 64a^3 + 64a^2

So the simplified expression is:

16a^4 - 64a^3 + 64a^2