Question

Write each product in standard form. (2x + 5)(2x - 5)

Solutions

VerifiedSolution A

Solution B

Answered 2 years ago

Step 1

1 of 2Given product form is $(2x-5)(2x+5)$

Expand the equation by using distrubutive law

$\begin{align*} (2x-5)(2x+5) \\ &=4x^2-10x+10x+25 \\ &=4x^2-25 \end{align*}$

Step 1

1 of 2We are given a product of a sum and difference which follows the pattern:

$(a+b)(a-b)=a^2-b^2\color{white}{\tag{1}}$

Substituting $a=2x$ and $b=5$ and simplifying, we have:

$\begin{align*} (2x+5)(2x-5)&=(2x)^2-5^2\\ &=\color{#c34632}{4x^2-25} \end{align*}$

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