Final answer:
To write the equation 16x² + 36xy² = 576 in standard form, we need to rearrange it so that it is in the form Ax² + Bxy + Cy² = D.
Step-by-step explanation:
To write the equation 16x² + 36xy² = 576 in standard form, we need to rearrange it so that it is in the form Ax² + Bxy + Cy² = D. Let's start by expanding the equation and bringing all the terms to one side:
16x² + 36xy² - 576 = 0
Now, let's combine like terms:
16x² + 36xy² - 576 = 0
The equation is now in standard form.