Expand the following:

$\left(x-7\right)\left(x+7\right)$(x−7)(x+7)

Expand $\left(10-m\right)\left(m+10\right)$(10−m)(m+10).

Expand the following perfect square:$\left(x+3\right)^2$(x+3)2

Expand the following using binomial expansion:

$\left(x+5\right)\left(x+7\right)$(x+5)(x+7)

Manipulate rational, exponential, and logarithmic algebraic expressions

Apply algebraic methods in solving problems