Question

Simplify: $(2-\sqrt{x+4})^2$

Solution

VerifiedStep 1

1 of 2$\begin{align*} (2-\sqrt{x+4})^{2} &=2^{2}-2\cdot2\sqrt{x+4}+(\sqrt{x+4})^{2}\\ &=4-4\sqrt{x+4}+x+4\\ &=8-4\sqrt{x+4}+x \end{align*}$

Use special product formula for the square of a binomial.

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