Q53. - Algebra 1

Question

Find the product.

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

Step-by-Step Solution

Answer

The final answer is $\mathbf{9}{\mathit{x}}^{\mathbf{2}}\mathbf{-}\mathbf{12}\mathit{x}\mathbf{+}\mathbf{4}$.

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

Step 2. Expand the identity, ( a − b ) 2 .

${\left(a-b\right)}^2=a^2-2ab+b^2\dots \dots \dots .\left(1\right)$

Step 3. Calculate the product ( 3 x − 2 ) 2 .

Use equation (1) to find the product.

$\begin{array}{c}{\left(3x-2\right)}^2={\left(3x\right)}^2-2\left(3x\right)\left(2\right)+2^2\\ ={\left(3\right)}^2{\left(x\right)}^2-12x+4\\ =9x^2-12x+4\end{array}$

Therefore, the final answer is $9x^2-12x+4$.