Simplify. (4v^2+7)+(5v^2-6v-3) square square

To simplify the expression \((4v^{2}+7)+(5v^{2}-6v-3)\), we need to combine like terms.<br /><br />First, let's rewrite the expression by removing the parentheses:<br />\[ 4v^{2} + 7 + 5v^{2} - 6v - 3 \]<br /><br />Next, we group the like terms together:<br />\[ (4v^{2} + 5v^{2}) + (-6v) + (7 - 3) \]<br /><br />Now, we combine the coefficients of the like terms:<br />\[ 4v^{2} + 5v^{2} = 9v^{2} \]<br />\[ 7 - 3 = 4 \]<br /><br />So, the expression simplifies to:<br />\[ 9v^{2} - 6v + 4 \]<br /><br />Therefore, the simplified form of the given expression is:<br />\[ \boxed{9v^{2} - 6v + 4} \]