Question

(a^4 − 0,1b) (a^8+0,1a^4b+0,01b^2)

Answer 1

Ответ:

(a⁴ − 0,1b) (a⁸ + 0,1a⁴b + 0,01b²) = (a⁴ - 0,1b)³

Answer 2

Ответ:

$\boxed{\bold{a^{12}-0,1a^{8}b+0,01a^{4} b^{2} - 0,001b^{3} + 0,1a^{4b+4}-0,01a^{4b} b}}$

Объяснение:

$(a^{4} - 0,1b) (a^{8} + 0,1a^{4b} +0,01b^{2} )$

$a^{4} a^{8} + a^{4} (0,1a^{4b} )+a^{4} (0,01b^{2} ) - 0,1ba^{8} - 0,1b (0,1a^{4b} )-0,1b(0,01b^{2} )$

Ответ: $\boxed{\bold{a^{12}-0,1a^{8}b+0,01a^{4} b^{2} - 0,001b^{3} + 0,1a^{4b+4}-0,01a^{4b} b}}$

Answer 3

To expand the given expression $(a^4 - 0.1b)(a^8 + 0.1a^4b + 0.01b^2)$, you can use the distributive property to multiply the terms. Let's go through the steps:

Step 1: Distribute $a^4$ to all the terms in the second parentheses. Step 2: Distribute $-0.1b$ to all the terms in the second parentheses. Step 3: Add up all the resulting terms.

Let's calculate it step by step:

Step 1: $a^4 \cdot (a^8 + 0.1a^4b + 0.01b^2) = a^8 + 0.1a^8b + 0.01a^4b^2$

Step 2: $-0.1b \cdot (a^8 + 0.1a^4b + 0.01b^2) = -0.1a^8b - 0.01a^4b^2 - 0.001b^3$

Step 3: Now, add all the terms together: $a^8 + 0.1a^8b + 0.01a^4b^2 - 0.1a^8b - 0.01a^4b^2 - 0.001b^3$

Now, combine like terms: $a^8 - 0.1a^8b + 0.001b^3$

So the expanded form of the expression is $a^8 - 0.1a^8b + 0.001b^3$.