#mathematics #polynomials #precalculus

What is

$234567^2-234557\times 234577\ ?$

Using the same method as the example above,

\begin{align*} 234567^2-234557\times 234577&=234567^2-\big(234567^2-10^2\big)\\ &=234567^2-234567^2+10^2\\ &=100.\ _\square \end{align*}

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Difference Of Squares | Brilliant Math &amp; Science Wiki
he difference of two squares. Let the odd number be $$n = 2b + 1$$, where $$b$$ is a non-negative integer. Then we have $n = 2b+1 = [ (b+1) + b ] [ (b+1) - b ] = (b+1)^2 - b^2. \ _\square$ <span>What is $234567^2-234557\times 234577\ ?$ Using the same method as the example above, \begin{align*} 234567^2-234557\times 234577&=234567^2-\big(234567^2-10^2\big)\\ &=234567^2-234567^2+10^2\\ &=100.\ _\square \end{align*} Solve the following problems: [emptylink] $b-a$ ${ a }^{ 2 }{ +b }^{ 2 }$ $a+b$ $a-b$ Which of the following equals $$\dfrac { { a }^{ 2 }-{ b }^{ 2 } }{ a-b }$$ for \(a\neq b\