Find $ \left(2x+5\right)^2 $ using formula.

$$ (A + B)^2 = \color{blue}{A^2} + 2 \cdot A \cdot B + \color{red}{B^2} $$

where $ A = \color{blue}{ 2x } $ and $ B = \color{red}{ 5 }$.

$$ \begin{aligned}\left(2x+5\right)^2 = \color{blue}{\left( 2x \right)^2} +2 \cdot 2x \cdot 5 + \color{red}{5^2} = 4x^2+20x+25\end{aligned} $$

Multiply $ \color{blue}{2} $ by $ \left( 3x-2\right) $ $$ \color{blue}{2} \cdot \left( 3x-2\right) = 6x-4 $$

Multiply each term of $ \left( \color{blue}{6x-4}\right) $ by each term in $ \left( 3x+2\right) $.

$$ \left( \color{blue}{6x-4}\right) \cdot \left( 3x+2\right) = 18x^2+ \cancel{12x} -\cancel{12x}-8 $$

Combine like terms:

$$ 18x^2+ \, \color{blue}{ \cancel{12x}} \, \, \color{blue}{ -\cancel{12x}} \,-8 = 18x^2-8 $$

Remove the parentheses by changing the sign of each term within them.

$$ - \left( 18x^2-8 \right) = -18x^2+8 $$

Combine like terms:

$$ \color{blue}{12} -18x^2+ \color{blue}{8} = -18x^2+ \color{blue}{20} $$

Remove the parentheses by changing the sign of each term within them.

$$ - \left( 4x^2+20x+25 \right) = -4x^2-20x-25 $$

Combine like terms:

$$ \color{blue}{-18x^2} + \color{red}{20} \color{blue}{-4x^2} -20x \color{red}{-25} = \color{blue}{-22x^2} -20x \color{red}{-5} $$