Answer:
[tex]\large\boxed{(x^2+43x+10)-(10x^2-5x+10)=-9x^2+48x}[/tex]
Step-by-step explanation:
[tex](x^2+43x+10)-(10x^2-5x+10)\\\\=x^2+43x+10-10x^2-(-5x)-10\\\\=x^2+43x+10-10x^2+5x-10\qquad\text{combine like terms}\\\\=(x^2-10x^2)+(43x+5x)+(10-10)\\\\=-9x^2+48x[/tex]