Given:
Some expressions are given.
Find:
we have to find the equivalent form of given expressions from the options.
Explanation:
we will write the equivalent form of the given expressions as following
[tex]\begin{gathered} (4x^3-4+7x)-(2x^3-x-8)=4x^3-4+7x-2x^3+x+8 \\ =\left(2x^3+8x+4\right) \\ Therefore,\text{ }(4x^3-4+7x)-(2x^3-x-8)=(2x^3+8x+4) \end{gathered}[/tex]
So, first expression is equivalent to option B.
Now
[tex](-3x^2+x^4+x)+(2x^4-7+4x)=3x^4-3x^2+5x-7[/tex]
So, second expression is equivalent to option D.
Now, the third expression is
[tex](x^2-2x)(2x+3)=(2x^3+3x^2-4x^2-6x)=2x^3-x^2-6x[/tex]
Therefore, third expressionn is equivalent to option A.
