Answer
14x$^2$-11
Work Step by Step
Use the distributive property to get rid of the parentheses and bracket and combine like terms.
4(6x$^2$-3)-[2(5x$^2$-1)+1]
4(6x$^2$-3)-[10x$^2$-2+1]
4(6x$^2$-3)-[10x$^2$-1]
4(6x$^2$-3)-10x$^2$+1
4(6x$^2$)+4(-3)-10x$^2$+1
24x$^2$+(-12)-10x$^2$+1
24$^2$-10x$^2$+(-12)+1
14x$^2$-11