Answer:
The answer in descending powers of x:
Step-by-step explanation:
We have to subtract [tex]2x^2-6x-4[/tex] from [tex]4x^2-4x+3[/tex]
[tex]4x^2-4x+3\:-\left(2x^2-6x-4\right)[/tex]
Distribute the Negative Sign
[tex]=4x^2-4x+3+-1\left(2x^2-6x-4\right)[/tex]
[tex]=4x^2+-4x+3+-1\left(2x^2\right)+-1\left(-6x\right)+\left(-1\right)\left(-4\right)[/tex]
[tex]=4x^2+-4x+3+-2x^2+6x+4[/tex]
Combine Like Terms
[tex]=4x^2+-4x+3+-2x^2+6x+4[/tex]
[tex]=\left(4x^2+-2x^2\right)+\left(-4x+6x\right)+\left(3+4\right)[/tex]
[tex]=2x^2+2x+7[/tex]
Thus, the answer in descending powers of x:
