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Binomial Conjugates Calculator

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1

Solved example of binomial conjugates

$\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)$

The first term ($a$) is $2$.

The second term ($b$) is $\sqrt{y}$.

Solve the product of difference of squares $\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)$

$2^2-\left(\sqrt{y}\right)^2$

Simplify $\left(\sqrt{y}\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{2}$ and $n$ equals $2$

$2^2-y$
2

Solve the product of difference of squares $\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)$

$4-y$

Final Answer

$4-y$

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