Question

simplify the following expression.

\\((10d + 6)(10d - 6)\\)

\\(?d^2 - \quad\\)

Explanation:

Identify the algebraic structure

Using the Multiplying Binomials knowledge point

$$ (10d + 6)(10d - 6) $$

Apply the difference of squares formula

Using the Multiplying Binomials knowledge point

$$ (a+b)(a-b) = a^2 - b^2 $$

$$ (10d)^2 - 6^2 $$

Simplify the squared terms

Using the Multiplying Binomials knowledge point

$$ (10d)^2 = 100d^2 $$

$$ 6^2 = 36 $$

$$ 100d^2 - 36 $$

Answer:

Simplify the following expression.

$$(10d + 6)(10d - 6)$$

<blank>100</blank>\(d^2 -\) <blank>36</blank>