Question

(3-4a)(9+12a+16a2)-8a(1-8a2)

Answer 1

Ответ:

(3-4а)(9+12а+16а²)-8а(1-8а²)

используем формулу а³-b³=(a-b)(a²+ab+b²)

27-64a³-8a+64a³

27-8a

Answer 2

Ответ:

(3-4a)(9+12a+16a2)-8a(1-8a2)

(3-4a)×(9+12a+32a)-8a×(1-16a)

(3-4a)×(9+44a)-8a+128a kvadratı

27+132a-36a-176a2-8a+128a kvadratı

27+ 88a-48a kvadratı

-48a2 +88a+27

Answer 3

To expand the given expression (3-4a)(9+12a+16a^2)-8a(1-8a^2), you can use the distributive property (also known as FOIL in this case) to multiply each term in the first expression with each term in the second expression and then simplify the result. Here's how you can do it step by step:

First, distribute the terms in the first expression (3-4a) across the terms in the second expression (9+12a+16a^2):

(3-4a)(9) + (3-4a)(12a) + (3-4a)(16a^2)

Now, distribute the terms in the second expression (-8a) across the terms in the third expression (1-8a^2):

-8a(1) - 8a(-8a^2)

Now, calculate the products in each term:

(3 * 9) - (4a * 9) + (3 * 12a) - (4a * 12a) + (3 * 16a^2) - (4a * 16a^2) - (8a * 1) + (8a * 8a^2)

Now, simplify each term:

27 - 36a + 36a - 48a^2 + 48a^2 - 64a^3 - 8a + 64a^3

Notice that the middle terms (36a and -36a) and the terms with a^2 (48a^2 and -48a^2) cancel out. So, you're left with:

27 - 8a

So, the expanded form of the expression (3-4a)(9+12a+16a^2)-8a(1-8a^2) is simply:

27 - 8a