Question

(х во 2 степен +1)×(х во 2 степени + 2)​

Answer 1

Объяснение:

$(x {}^{2} + 1) \times (x {}^{2} + 2) \\ \\ x {}^{4} + 2x {}^{2} + x {}^{2} + 2 \\ \\ x {}^{4} + 3x {}^{2} + 2$

~•~•~•ZLOY_TIGROVSKIY~•~•~•

Answer 2

To simplify the expression $(x^2 + 1) \times (x^2 + 2)$, we can use the distributive property of multiplication over addition.

Expanding the expression, we get:

$(x^2 + 1) \times (x^2 + 2) = x^2 \times (x^2 + 2) + 1 \times (x^2 + 2)$

Simplifying further, we have:

$x^2 \times (x^2 + 2) = x^4 + 2x^2$ (Using the distributive property)

And

$1 \times (x^2 + 2) = x^2 + 2$ (Using the distributive property)

Therefore, the simplified expression is:

$(x^2 + 1) \times (x^2 + 2) = x^4 + 2x^2 + x^2 + 2 = x^4 + 3x^2 + 2$

So, $(x^2 + 1) \times (x^2 + 2)$ simplifies to $x^4 + 3x^2 + 2$.