Algebra Examples

${(x + y)}^{8}$

Step 1

Use the Binomial Theorem.

$x^{8} + 8 x^{7} y + 28 x^{6} y^{2} + 56 x^{5} y^{3} + 70 x^{4} y^{4} + 56 x^{3} y^{5} + 28 x^{2} y^{6} + 8 x y^{7} + y^{8}$

Step 2

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

$x^{8}$

Step 3

The leading coefficient in a polynomial is the coefficient of the leading term.

$1$