Question

which facts did you include in your response?
check all of the boxes that apply.
multiply the first, outside, inside, and last terms of the binomials.
multiply a times a, a times -b, b times a, and b times -b.
this is the same as just squaring a and squaring b.
a shortcut is to add a squared and b squared.

Explanation:

This refers to expanding the difference of squares binomial $(a-b)(a-b)$ or $(a+b)(a-b)$ using the FOIL method. The first two options describe the correct FOIL process for binomial multiplication, while the last two options are incorrect: squaring $a$ and $b$ (or adding $a^2$ and $b^2$) misses the middle cross terms (or the negative middle term for difference of squares).

Answer:

• Multiply the first, outside, inside, and last terms of the binomials.
• Multiply $a$ times $a$, $a$ times $-b$, $b$ times $a$, and $b$ times $-b$.