Question

simplify the following expression.

\\(5x - 2)^2\\

\\?x^2 + \quadx + \quad\\

Explanation:

Write the squared expression as a product

Using the Multiplying Binomials knowledge point

$$ (5x - 2)^2 = (5x - 2)(5x - 2) $$

Expand the binomial product

Using the Multiplying Binomials knowledge point

$$ (5x - 2)(5x - 2) = 5x(5x) + 5x(-2) - 2(5x) - 2(-2) $$

$$ = 25x^2 - 10x - 10x + 4 $$

Combine the linear terms

Using the Combining Like Terms knowledge point

$$ 25x^2 - 10x - 10x + 4 = 25x^2 - 20x + 4 $$

Answer:

Simplify the following expression.

$$(5x - 2)^2$$

<blank>25</blank>\(x^2 +\) <blank>-20</blank>\(x +\) <blank>4</blank>