Algebra Examples

${(x + y)}^{7}$

Step 1

Use the Binomial Theorem.

$x^{7} + 7 x^{6} y + 21 x^{5} y^{2} + 35 x^{4} y^{3} + 35 x^{3} y^{4} + 21 x^{2} y^{5} + 7 x y^{6} + y^{7}$

Step 2

The leading term in a polynomial is the term with the highest degree.

$x^{7}$