Answer:
![-4a^2+4ab+8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5uvbp78ha7o29ziu1tw9l1bym2q5lm2z5o.png)
Explanation:
our expression is
![3a^2+9ab+5-4a^2-4ab+3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4o04zc1kgysbp9ie28hfx440b60mo47fve.png)
we are asked to simplify the expression
in order to that we first bring the like terms together
like terms are those having the same variable or same combination of variables with exactly same degrees
Hence it would be like
![3a^2-4a^2+9ab-4ab+5+3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9ttua7grzpr2jtktgdmabdyc3njqcv2yet.png)
now we simplify the like terms
![3a^2-4a^2=-4a^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/m630xsjzoqame5o1t678qbzzxjm15gscvs.png)
![9ab-4ab=4ab](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pr8e9chjwl8qvagjx0uq2b2woudg0neiu7.png)
![5+3=8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qpgquyyp98z5vsuueh9h2p0ab7h9ngnhxt.png)
Hence
![3a^2-4a^2+9ab-4ab+5+3=-4a^2+4ab+8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/f8ac1rpnycurj48fbivibptw0q3ip96yv3.png)