Respuesta :

[tex]-a^{3} b+13 a^{2} b^{2}-13 a b+5[/tex]

Step-by-step explanation:

Let x be the expression, we have to find must be subtracted from the given expression, to get the answer.

Now we have to combine the like terms, before that we have to move x from LHS to the RHS , so that we will get the required expression.

[tex]a^{2} b+6 a^{2} b^{2}-7 a b+4-x=-7 a^{2} b^{2}+2 a^{2} b+6 a b-1[/tex]

[tex]a^{3} b+6 a^{2} b^{2}-7 a b+4+7 a^{2} b^{2}-2 a^{3} b-6 a b+1=x[/tex]

Now arranging the like terms as,

[tex]\begin{array}{l}a^{3} b-2 a^{3} b+6 a^{2} b^{2}+7 a^{2} b^{2}-7 a b-6 a b+4+1=x \\-a^{3} b+13 a^{2} b^{2}-13 a b+5=x\end{array}[/tex]

So the expression is "[tex]-a^{3} b+13 a^{2} b^{2}-13 a b+5[/tex]"