On Sums of Products in $\mathbb F_p\times \mathbb F_p$

The problem of sums of products in $\mathbb F_p\times \mathbb F_p$ is considered. An estimate for sums of products improving Bourgain's result of 2005 is obtained. This estimate is applied to the problem of estimating polynomial exponential sums over multiplicative subgroups in $\mathbb F_p^*$.