Squaring a Binomial
Understanding the Binomial:
* A binomial is an algebraic expression with two terms.
* In this case, the binomial is (xt1).
Squaring a Binomial:
* To square a binomial, you multiply it by itself.
Solution:
* (xt1)² = (xt1)(xt1)
* Using the distributive property, we multiply each term in the first binomial by each term in the second binomial:
* (xt1)(xt1) = x * x + x * t1 + t1 * x + t1 * t1
* Simplifying the expression:
* x * x = x²
* x * t1 = xt1
* t1 * x = xt1
* t1 * t1 = t1²
* Combining like terms:
* x² + xt1 + xt1 + t1² = x² + 2xt1 + t1²
Therefore, (xt1)² = x² + 2xt1 + t1²
