Question

please solve for brainliest!

Answer 1

Answer:

$m^{4}$ + 2m²n² - m²n - 2n³

Step-by-step explanation:

(m² - n)(m² + 2n²)

= $m^{4}$+ 2m²n² - m²n - 2n³

So, the answer is $m^{4}$+ 2m²n² - m²n - 2n³.

Answer 2

Answer:

$\sf m^4 + 2m^2n^2 - m^2n - 2n^3$

Step-by-step explanation:

To expand the given polynomial $\sf (m^2 - n)(m^2 + 2n^2)$, we will use the distributive property (FOIL). FOIL stands for First, Outer, Inner, Last, and it's a method for multiplying two binomials.

Let's apply it to the given expression:

$\sf \begin{aligned} & \sf (m^2 - n)(m^2 + 2n^2) \\ & \sf = m^2 \cdot m^2 + m^2 \cdot 2n^2 - n \cdot m^2 - n \cdot 2n^2 \\ & \sf = m^4 + 2m^2n^2 - m^2n - 2n^3 \end{aligned}$

So, the expanded form of $\sf (m^2 - n)(m^2 + 2n^2)$ is:

$\sf m^4 + 2m^2n^2 - m^2n - 2n^3$