Question

1. Square the binomial (p + q). What is the result?

Op²+q²
Op²+2pq+q²
Op² + pq+q²
2p+2q

Answer 1

Answer: p²+2pq+q²

Explanation:

squaring a binomial works like this:

(p+q)² = (p+q)(p+q)

try the FOIL method: multiply the first, outside, inside, and last numbers/variables to distribute properly

F: (p)(p) = p²

O: (p)(q) = pq

I: (q)(p) = pq

L: (q)(q) = q²

then add them all together

q²+pq+pq+q²

and combine like (identical) terms

q²+2pq+q²

it's 2pq because they're being added, not multiplied.

hope this helps!