Question

(2а^2-3в)(а^2+2ав+5в^2)

Answer 1

Відповідь:

2a^4+4a^3b+10a^2b^2-3a^2b-6ab^2-15b^3

Пояснення:

Answer 2

To multiply the given expressions $(2a^2 - 3b)(a^2 + 2ab + 5b^2)$, you can use the distributive property (also known as the FOIL method for binomials). FOIL stands for First, Outer, Inner, Last, which is a step-by-step approach to multiplying two binomials. Here's how you can apply it to the given expressions:

Step 1: Multiply the First terms of both binomials. $2a^2 \cdot a^2 = 2a^4$

Step 2: Multiply the Outer terms of both binomials. $2a^2 \cdot 2ab = 4a^3b$

Step 3: Multiply the Inner terms of both binomials. $-3b \cdot a^2 = -3a^2b$

Step 4: Multiply the Last terms of both binomials. $-3b \cdot 2ab = -6ab^2$

Now, add all these results together:

$2a^4 + 4a^3b - 3a^2b - 6ab^2$

Combine like terms:

$2a^4 + (4a^3b - 3a^2b) - 6ab^2$

$2a^4 + a^2b - 6ab^2$

So, the product of $(2a^2 - 3b)(a^2 + 2ab + 5b^2)$ is $2a^4 + a^2b - 6ab^2$.