Q20. - Algebra 1

Question

Find each product. 

${\left(x+3\right)}^{\mathbf{2}}$

Step-by-Step Solution

Answer

The required product is represented by ${\mathit{x}}^{\mathbf{2}}\mathbf{+}\mathbf{9}\mathbf{+}\mathbf{6}\mathit{x}$.

Step 1. Determine the identity of polynomial that can be used.

The provided polynomial indicates the left side of the identity ${\left(a+b\right)}^2=a^2+b^2+2ab$ so this identity can be used.

Step 2. Take the help of obtained identity.

Substitute x in place of a and 3 in place of b into the right side of the obtained identity.

$x^2+{\left(3\right)}^2+2\left(3x\right)$

Step 3. Perform the simplification.

Write the exponential and multiplicative terms in simplest form.

$x^2+9+6x$