How do you simplify #(4x^3 + 13x – 7) – (6x^2 + 9x + 2)#?

Question

Julia Adams · Accepted Answer

#" "4x^3-6x^2+4x-9#

The minus sign to the left of the last bracket is saying; remove all of what is in that bracket.

Another way of dealing with this is ; multiply everything inside the right bracket by #(-1)#

The outcome for both these is the same.

so we have

#" "4x^3+13x-7" "-6x^2-9x-2#

#" "4x^3-6x^2+(13x-9x)+(-7-2)#

#" "4x^3-6x^2+4x-9#

Hazel Anglin · Answer

undefined To simplify the expression $ (4x^3 + 13x - 7) - (6x^2 + 9x + 2) $, you need to distribute the negative sign to each term inside the parentheses of the second expression and then combine like terms:

$ 4x^3 + 13x - 7 - 6x^2 - 9x - 2 $

Combine like terms:

$ 4x^3 - 6x^2 + 13x - 9x - 7 - 2 $

$ 4x^3 - 6x^2 + (13x - 9x) - (7 + 2) $

$ 4x^3 - 6x^2 + 4x - 9 $

So, the simplified expression is $ 4x^3 - 6x^2 + 4x - 9 $.

Kennedy Adams · Answer

undefined To simplify $ (4x^3 + 13x - 7) - (6x^2 + 9x + 2) $, you distribute the negative sign to all terms inside the parentheses and then combine like terms:

$$ (4x^3 + 13x - 7) - (6x^2 + 9x + 2) $$
$$ = 4x^3 + 13x - 7 - 6x^2 - 9x - 2 $$

Now, combine like terms:

$$ = (4x^3) - (6x^2) + (13x - 9x) + (-7 - 2) $$
$$ = 4x^3 - 6x^2 + 4x - 9 $$

So, $ (4x^3 + 13x - 7) - (6x^2 + 9x + 2) $ simplifies to $ 4x^3 - 6x^2 + 4x - 9 $.