Answer
-2x$^2$-9
Work Step by Step
Use the distributive property to get rid of the parentheses and bracket and combine like terms.
2(3x$^2$-5)-[4(2x$^2$-1)+3]
2(3x$^2$-5)-[8x$^2$-4+3]
2(3x$^2$)+2(-5)-[8x$^2$-4+3]
2(3x$^2$)+2(-5)-[8x$^2$-1]
2(3x$^2$)+2(-5)-8x$^2$+1
6x$^2$+(-10)-8x$^2$+1
6x$^2$-8x$^2$+(-10)+1
-2x$^2$-9