For an expression A, the function simplify(A) will apply simplification rules to A, and return the resulting expression.

For an array A, the function simplify(A) will return an array R with the same dimensions as A. For each element e of A, the corresponding element in R will have the value simplify(e).

$\mathrm{with}\left(\mathrm{MTM}\right)\:$

$A≔4^{\frac{1}{2}}+3$

$A≔\sqrt{4}+3$

$\mathrm{simplify}\left(A\right)$

$5$

$B≔\exp \left(a+\ln \left(b\exp \left(c\right)\right)\right)$

$B≔{\ⅇ}^{a+\ln \left(b{\ⅇ}^c\right)}$

$C≔{\sin \left(x\right)}^2+\ln \left(2x\right)+{\cos \left(x\right)}^2$

$C≔{\sin \left(x\right)}^2+\ln \left(2x\right)+{\cos \left(x\right)}^2$

$E≔{\cos \left(x\right)}^5+{\sin \left(x\right)}^4+2{\cos \left(x\right)}^2-2{\sin \left(x\right)}^2-\cos \left(2x\right)$

$E≔{\cos \left(x\right)}^5+{\sin \left(x\right)}^4+2{\cos \left(x\right)}^2-2{\sin \left(x\right)}^2-\cos \left(2x\right)$

$\mathrm{simplify}\left(\mathrm{Array}\left(\left[\left[A\,B\right]\,\left[C\,E\right]\right]\right)\right)$

$\left[\begin{array}{cc}5& b{\ⅇ}^{c+a}\\ \ln \left(2\right)+\ln \left(x\right)+1& {\cos \left(x\right)}^4\left(\cos \left(x\right)+1\right)\end{array}\right]$