Answer:
[tex]-4r^2 +8rt-9t^2[/tex]
Step-by-step explanation:
We want to subtract [tex]8r^2 -5rt+2t^2[/tex] from [tex]4r^2+3rt-7t^2[/tex]
This is given as:
[tex]4r^2+3rt-7t^2 -(8r^2 -5rt+2t^2)\\[/tex]
Open the bracket
[tex]4r^2+3rt-7t^2 -8r^2 +5rt-2t^2\\[/tex]
Collect like terms
[tex]4r^2 -8r^2 +5rt+3rt-7t^2-2t^2\\[/tex]
Simplify
[tex]=-4r^2 +8rt-9t^2[/tex]
Therefore:
[tex]4r^2+3rt-7t^2 -(8r^2 -5rt+2t^2) =-4r^2 +8rt-9t^2[/tex]
